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April 2020 On systems of non-overlapping Haar polynomials
Grigori A. Karagulyan
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Ark. Mat. 58(1): 121-131 (April 2020). DOI: 10.4310/ARKIV.2020.v58.n1.a8

Abstract

We prove that $\operatorname{log} n$ is an almost everywhere convergence Weyl multiplier for the orthonormal systems of non-overlapping Haar polynomials. Moreover, it is done for the general systems of martingale difference polynomials.

Funding Statement

Research was supported by the Science Committee of Armenia, grant 18T-1A081.

Citation

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Grigori A. Karagulyan. "On systems of non-overlapping Haar polynomials." Ark. Mat. 58 (1) 121 - 131, April 2020. https://doi.org/10.4310/ARKIV.2020.v58.n1.a8

Information

Received: 19 February 2019; Revised: 4 October 2019; Published: April 2020
First available in Project Euclid: 16 January 2021

Digital Object Identifier: 10.4310/ARKIV.2020.v58.n1.a8

Subjects:
Primary: 42C05, 42C10, 42C20

Rights: Copyright © 2020 Institut Mittag-Leffler

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