Pointwise convergence of Marcinkiewicz-Fejér means of two-dimensional Walsh-Fourier series

Author:

Goginava Ushangi1,Weisz Ferenc2

Affiliation:

1. 1 Tbilisi State University Institute of Mathematics, Faculty of Exact and Natural Sciences Chavchavadze str. 1 Tbilisi 0128 Georgia

2. 2 Eötvös L. University Department of Numerical Analysis H-1117 Budapest Pázmány P. sétány 1/C. Hungary

Abstract

In this paper we characterize the set of convergence of the Marcinkiewicz-Fejér means of two-dimensional Walsh-Fourier series.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Reference17 articles.

1. The maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series;Blahota I.;Studia Sci. Math. Hungar.,2008

2. Fourier Analysis and Approximation

3. Cesáro summability of Walsh-Fourier series;Fine J.;Proc. Nat. Acad. Sci. USA,1955

4. The maximal operator of the Marcinkiewicz-Fejér means of the d-dimensional Walsh-Fourier series;Goginava U.;East J. Approx.,2006

5. The weak type inequality for the maximal operator of the Marcinkiewicz-Fejér means of the two-dimensional Walsh-Fourier series;Goginava U.;J. Approximation Theory,2008

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Pointwise convergence of Marcinkiewicz-Fejér means of double Vilenkin-Fourier series;Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences);2017-09

2. Convergence and Summability of Fourier Transforms and Hardy Spaces;Applied and Numerical Harmonic Analysis;2017

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