Paley's Theory for Lacunary Fourier Series on Discrete Groups: a Semigroup-Interpretation
Functional Analysis
2019-09-17 v3
Abstract
The main result is a Paley's theory for lacunary Fourier series using semigroup-BMO and spaces. This interpretation allows an extension of Paley's theory to general discrete groups, complementing the work of Rudin for abelian groups with a total order, and Lust-Piquard and Pisier's work for lacunary Fourier series with operator-valued coefficients.
Keywords
Cite
@article{arxiv.1703.02208,
title = {Paley's Theory for Lacunary Fourier Series on Discrete Groups: a Semigroup-Interpretation},
author = {Tao Mei},
journal= {arXiv preprint arXiv:1703.02208},
year = {2019}
}
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9 pages