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arXiv · 1501.01230

A Resonance Theorem for a Family of Translation Invariant Differentiation Bases

Giorgi G. Oniani
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Abstract

A resonance theorem providing existence of functions that are counterexamples for all members of a given family of translation invariant differentiation bases is proved. Applications of the theorem to Zygmund problem on a choice of coordinate axes are given.

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Giorgi G. Oniani. 2015-01-06. A Resonance Theorem for a Family of Translation Invariant Differentiation Bases. https://arxiv.org/abs/1501.01230

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