Triangular Fejér summability of two-dimensional Walsh-Fourier series

György Gát; Ushangi Goginava

doi:10.1007/s10476-014-0201-z

Triangular Fejér summability of two-dimensional Walsh-Fourier series

György Gát, Ushangi Goginava

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

It is proved that the operators σ _n ^Δ 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≤∞.

Original language	English
Pages (from-to)	83-104
Number of pages	22
Journal	Analysis Mathematica
Volume	40
Issue number	2
DOIs	https://doi.org/10.1007/s10476-014-0201-z
Publication status	Published - Jun 2014
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "Triangular Fej{\'e}r summability of two-dimensional Walsh-Fourier series",

abstract = "It is proved that the operators σ n Δ of the triangular-Fej{\'e}r-means of a two-dimensional Walsh-Fourier series are uniformly bounded from the dyadic Hardy space Hp to Lp for all 4/5 < p≤∞.",

author = "Gy{\"o}rgy G{\'a}t and Ushangi Goginava",

year = "2014",

month = jun,

doi = "10.1007/s10476-014-0201-z",

language = "English",

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AU - Goginava, Ushangi

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N2 - It is proved that the operators σ n Δ of the triangular-Fejér-means of a two-dimensional Walsh-Fourier series are uniformly bounded from the dyadic Hardy space Hp to Lp for all 4/5 < p≤∞.

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

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Triangular Fejér summability of two-dimensional Walsh-Fourier series

Abstract

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