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Prove SignedFiniteBand (openai/math family 085: Endpoint regularity of the planar centered maximal function)…

Prove SignedFiniteBand (openai/math family 085: Endpoint regularity of the planar centered maximal function)…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 085 of the release, Endpoint regularity of the planar centered maximal function…

The task

Context: this statement belongs to family 085 of the release, *Endpoint regularity of the planar centered maximal function* (Real and complex analysis). The family as a whole: Resolves the planar centered-disk case of the Haj{\l}asz–Onninen maximal-function regularity problem. For every real $f\in W^{1,1}(\mathbb…

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