On Inequivalences Of Sequences Of Characters

STUDIA MATHEMATICA（2021）

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摘要

We establish various results including the following: if 1 < p < infinity is not equal to 2 and sigma is a bijection between the trigonometric functions on [0,1) and the Walsh functions on [0,1), then sigma does not extend to an isomorphism L-p[0,1) -> L-p[0,1).

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关键词

equivalent systems of characters, Balog-Szemeredi-Gowers, Walsh functions, trigonometric functions

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