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arXiv · 1703.02208

Paley's Theory for Lacunary Fourier Series on Discrete Groups: a Semigroup-Interpretation

Tao Mei
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Abstract

The main result is a Paley's theory for lacunary Fourier series using semigroup-BMO and $H^1$ 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.

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BibTeXRIS

Tao Mei. 2017-03-07. Paley's Theory for Lacunary Fourier Series on Discrete Groups: a Semigroup-Interpretation. https://arxiv.org/abs/1703.02208

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