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Added metric space Carleson variant for two-sided Calderon-Zygmund kernel #36

Merged
merged 119 commits into from
Jul 18, 2024
Merged

Added metric space Carleson variant for two-sided Calderon-Zygmund kernel #36

merged 119 commits into from
Jul 18, 2024

Commits on Apr 11, 2024

  1. Initial experiments and formulation of the Classical Carleson Theorem

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  2. Small improvement

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Commits on Apr 13, 2024

  1. Formulated some more definitions and lemmas in context, a bit messy h… 

    …owever.
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  2. Reduced main theorem to lemmas, modulo some left sorry's

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  3. Added missing last calc step

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Commits on Apr 20, 2024

  1. State after meeting with recommendations

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  2. Changed back to volume.real in all places; filled in some gaps; minor… 

    … corrections
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  3. Proved that δ can be chosen less than π and moved this statement to a… 

    … new lemma
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Commits on Apr 25, 2024

  1. Stated lemma 10.4

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  2. Incorporated recent updates to definitions and theorem numbering.

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  3. Created first outline of the proof of Lemma 10.4, i.e. of section 10.7

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Commits on Apr 29, 2024

  1. Worked on section 10.7; problem occured with Finset in ballsCoverBalls

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Commits on Apr 30, 2024

  1. Proved lemma 10.37 (Hilbert kernel bound)

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Commits on May 1, 2024

  1. Continued work on section 10.7 and moved this part to a separate file.

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Commits on May 8, 2024

  1. Correct statement and proof of lemma Hilbert kernel bound.

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  2. Minor changes

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Commits on May 10, 2024

  1. Added and proved some lemmas needed for fourierConv_ofTwiceDifferenti… 

    …able
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Commits on May 11, 2024

  1. Almost done with the top level approximation argument.

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  2. Added and proved lemma about periodicity of deriv.

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  3. Proved lemma int_sum_nat. Simpler parts of approximation argument done.

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  4. Split the main file, part 1.

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  5. Split main file, part 2.

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  6. Added basic facts about partialFourierSum.

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Commits on May 12, 2024

  1. Finished proof of Classical Carleson module Lemma 10.3

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Commits on May 15, 2024

  1. Reshuffling sections

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  2. Merge branch 'differentiable_f0_experiment' into proof_of_theorem_1_1

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  3. Proved lemma 10.11 (lower secant bound)

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  4. Did much of the proof of lemma 10.14 (Hilbert kernel regularity).

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  5. Proved Hilbert_kernel_regularity (almost)

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  6. Reshuffled and added some definitions

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Commits on May 16, 2024

  1. Various minor improvements

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Commits on May 18, 2024

  1. Proved Lemma 10.10 (Dirichlet Kernel)

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Commits on May 19, 2024

  1. Proved helper lemma for control_approximation_effect

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Commits on May 20, 2024

  1. Progress on many different parts of control_approximation_effect

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  2. Mathlib update and further work on control_approximation_effect

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  3. open Complex in Control_Approximation_Effect

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Commits on May 21, 2024

  1. More sorry's in Control_Approximation_Effect

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Commits on May 22, 2024

  1. Cleanup of Carleson_on_the_real_line, part 1

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  2. Cleanup Carleson_on_the_real_line part 2

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  3. Cleanup, proved some minor lemmas

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  4. small improvements of control_approximation_effect; no change to ENNR… 

    …eal yet
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Commits on May 23, 2024

  1. Minor exploration of ideas but still stuck.

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  2. Minor additions in Basic

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  3. Stated van der Corput lemma. Discovered possible 

    issues with defs of IsCancellative and iLipNorm.
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Commits on May 28, 2024

  1. Added dirichlet_Hilbert_eq lemma

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  2. le_CarlesonOperatorReal' shoud be mostly working now

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  3. Reorganized proof of control_approximation_effect'

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Commits on May 29, 2024

  1. Rewrote proof of control_approximation_effect for ENNReal

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  2. Slightly generalized rcarleson' and other minor changes

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  3. Improved a proof

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Commits on Jun 1, 2024

  1. Filled in sorry's in Control_Approximation_Effect

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  2. Further cleanup of Control_Approximation_Effect

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  3. Updated classical_carleson to current version of control_approximatio… 

    …n_effect
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  4. Further Cleanup of Control_Approximation_Effect

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  5. Control_Approximation_Effect finally sorry-free :)

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  6. Cleanup CarlesonOperatorReal

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  7. Merge branch 'control_approximation_effect_ennreal_experiment'

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Commits on Jun 3, 2024

  1. Removed arguments for piecewise constant approximation

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  2. Minor correction in the proof of integer ball cover

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Commits on Jun 8, 2024

  1. Update blueprint section 10, add \leanok's

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  2. Merge branch 'master' of https://github.com/ldiedering/carleson

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  3. Merge branch 'development'

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  4. Corrected reference of Theorem 1.1

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Commits on Jun 9, 2024

  1. Try to fix lake-manifest.json and lean-toolchain by reverting to prev… 

    …ious version.
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  2. Merge branch 'fpvandoorn:master' into main

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  3. Revert "Try to fix lake-manifest.json and lean-toolchain by reverting… 

    … to previous version."

This reverts commit babd40b.
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  4. Dowongrade UnicodeBasic and «doc-gen4»

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  5. Merge branch 'main' of https://github.com/ldiedering/carleson

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  6. Revert "Dowongrade UnicodeBasic and «doc-gen4»" 

    This reverts commit 92be523.
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  7. lake-manifest.json update

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  8. Has this finally fixed the lake-manifest?

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  9. Merge branch 'master' of https://github.com/ldiedering/carleson

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  10. Add fourier-coeff-derivative as dependency of convergence-of-coeffs-s… 

    …ummable
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  11. Fetch lake-manifest.json from upstream

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  12. Added leanok to smooth-approximation

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Commits on Jun 10, 2024

  1. Added leanok to proof of smooth-approximation

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  2. Merge branch 'fpvandoorn:master' into master

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Commits on Jun 17, 2024

  1. Merge branch 'fpvandoorn:master' into master

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  2. Update estimate-x-shift

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  3. Further updates in 10.3; to finish it, 10.5 has to be updated first

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Commits on Jun 21, 2024

  1. Started updating Calderon-Zygmund decomposition. Tried using Vitali-c… 

    …overing from mathlib but running into issues with boundedness.
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Commits on Jun 22, 2024

  1. Calderon-Zygmund decomposition almost done.

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Commits on Jun 23, 2024

  1. Mostly finished generalizing/updating subsection Calderon-Zygmund Dec… 

    …omposition
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  2. Reshuffling. Created new chapter for metric space Carleson variant.

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  3. Completed reorganising of sections. Parts of subsec-cotlar still need… 

    … to be updated.
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  4. Update 10carleson.

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  5. Finished rewriting and reorganising up to smaller todo's.

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  6. Add proof of geometric-series-estimate.

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  7. Fixed broken references.

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  8. Updated connections.

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  9. Merge branch 'fpvandoorn:master' into master

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  10. Improved proof in Hilbert_kernel

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  11. Merge branch 'master' of https://github.com/ldiedering/carleson

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  12. Merge branch 'development'

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Commits on Jun 24, 2024

  1. Update to new definitions

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  2. changed TODO's to fixme's

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  3. Merge branch 'van_der_corput' into catch-up

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Commits on Jun 25, 2024

  1. Finished van der Corput and most of the part where it is used.

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  2. Proved uniformContinuous_of_continuous; Basic.lean is now sorry-free :)

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Commits on Jun 27, 2024

  1. Small corrections

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Commits on Jul 1, 2024

  1. Filled in sorry's in Dirichlet_kernel.lean

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  2. Filled in more sorry's

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  3. Added some fixme to blueprint

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Commits on Jul 2, 2024

  1. Finally finished measurability of CarlesonOperatorReal. However, stil… 

    …l some Cleanup required.
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  2. Adjusted Control_Approximation_Effect.lean; no sorry's outside of Car… 

    …leson_on_the_real_line left :)
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    ldiedering committed Jul 2, 2024
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Commits on Jul 3, 2024

  1. Corrections and clarifications in real van der Corput.

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  2. Removed todo in Van_der_Corput.lean

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    ldiedering committed Jul 3, 2024
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Commits on Jul 5, 2024

  1. Updated 10.1 (Proof of Cotlar).

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    ldiedering committed Jul 5, 2024
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Commits on Jul 6, 2024

  1. Filled gaps in 10.2 (Calderon-Zygmund decomposition)

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    ldiedering committed Jul 6, 2024
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Commits on Jul 7, 2024

  1. Small corrections.

    @ldiedering
    ldiedering committed Jul 7, 2024
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  2. Merge branch 'master' of https://github.com/fpvandoorn/carleson

    @ldiedering
    ldiedering committed Jul 7, 2024
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  3. Fixed some problems caused by updated definitions.

    @ldiedering
    ldiedering committed Jul 7, 2024
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Commits on Jul 8, 2024

  1. Renamed operators and made Dirichlet uppercase everywhere.

    @ldiedering
    ldiedering committed Jul 8, 2024
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Commits on Jul 12, 2024

  1. Filled in two small sorry's

    @ldiedering
    ldiedering committed Jul 12, 2024
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  2. Corrections in chapter 10

    @ldiedering
    ldiedering committed Jul 12, 2024
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Commits on Jul 18, 2024

  1. Merge remote-tracking branch 'upstream/master'

    @ldiedering
    ldiedering committed Jul 18, 2024
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  2. Corrected IsCancellative condition in metricCarleson.

    @ldiedering
    ldiedering committed Jul 18, 2024
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  3. Corrected a \uses reference.

    @ldiedering
    ldiedering committed Jul 18, 2024
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  4. Corrected a Lean reference.

    @ldiedering
    ldiedering committed Jul 18, 2024
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