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Prove MeasureTheory.SublinearOn.maximalFunction #107

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merged 6 commits into from
Aug 7, 2024

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js2357
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@js2357 js2357 commented Aug 4, 2024

  • The definition of SublinearOn was missing the requirement c ≥ 0.
  • The statement of MeasureTheory.SublinearOn.maximalFunction had a spurious p; MB is defined with p=1, so there's no need for a general p.
  • The blueprint says that 𝓑 is finite, so I used that assumption even though several theorems in the file assume 𝓑 is countable instead. I also changed the assumption in hasStrongType_MB.


-- Named for consistency with `lintegral_add_left'`
-- Maybe add laverage/setLaverage theorems for all the other lintegral_add statements?
lemma setLaverage_add_left' {α : Type*} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α}
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lemma setLaverage_add_left' {α : Type*} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α}
lemma setLAverage_add_left' {α : Type*} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α}

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@fpvandoorn
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Thanks!
I was hoping we could generalize this to countable 𝓑, but it's no problem if we cannot.

@fpvandoorn fpvandoorn merged commit 6ae9c49 into fpvandoorn:master Aug 7, 2024
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2 participants