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Triangular Fejér summability of two-dimensional Walsh-Fourier series

Фейеровская суммируемость по треугольникам двойных рядов Фурье

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Abstract

It is proved that the operators σ Δ n of the triangular-Fejér-means of a two-dimensional Walsh-Fourier series are uniformly bounded from the dyadic Hardy space H p to L p for all 4/5 < p≤∞.

абстрактный

В работе докаэано, что операторы типа Фейера σ Δ n суммирования по треугольникам двойного ряда Фурье равномерно ограничены иэ двоичного пространства H p в L p для всех 4/5 <р ≤∞.

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Authors and Affiliations

  1. Institute of Mathematics and Computer Science, College of Nyíregyháza, P.O. Box 166, Nyíregyháza, H-4400, Hungary

    György Gát

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

    Ushangi Goginava

Authors
  1. György Gát
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  2. Ushangi Goginava
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Corresponding author

Correspondence to György Gát.

Additional information

Research was supported by project TÁMOP-4.2.2.A-11/1/KONV-2012-0051 and by Shota Rustaveli National Science Foundation grant no.13/06 (Geometry of function spaces, interpolation and embedding theorems)

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Gát, G., Goginava, U. Triangular Fejér summability of two-dimensional Walsh-Fourier series. Anal Math 40, 83–104 (2014). https://doi.org/10.1007/s10476-014-0201-z

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  • DOI: https://doi.org/10.1007/s10476-014-0201-z

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