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A note on the strong summability of two-dimensional Walsh–Fourier series

  • George Tephnadze EMAIL logo

Abstract

In this paper, we investigate the strong summability of two-dimensional Walsh–Fourier series obtained in [F. Weisz, Strong convergence theorems for two-parameter Walsh–Fourier and trigonometric-Fourier series, Studia Math. 117 1996, 2, 173–194] (see Theorem W) and prove the sharpness of this result.

MSC 2010: 42C10

Award Identifier / Grant number: YS-18-043

Funding statement: The research was supported by Shota Rustaveli National Science Foundation grant YS-18-043.

References

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Received: 2018-12-01
Revised: 2019-05-05
Accepted: 2019-06-05
Published Online: 2020-04-15
Published in Print: 2021-06-01

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