The two-dimensional Fejér means on diagonal Hardy space

Ushangi Goginava; Károly Nagy

doi:10.1007/s10998-014-0076-6

The two-dimensional Fejér means on diagonal Hardy space

Ushangi Goginava
, Károly Nagy

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

Abstract

In this paper we prove a weak type (1, 1) inequality for the maximal operator sup n, m | σ n, m | (n + m) ε for any ε > 0. This allows us to reach some inequalities which hold almost everywhere. Moreover, we improve the result of Wade presented in (Proceedings of A. Haar memorial conference, 1987).

Original language	English
Pages (from-to)	248-256
Number of pages	9
Journal	Periodica Mathematica Hungarica
Volume	70
Issue number	2
DOIs	https://doi.org/10.1007/s10998-014-0076-6
Publication status	Published - Jun 1 2015
Externally published	Yes

Keywords

Fejér means
Hardy space
Pointwise convergence
Two-dimensional system
Walsh group
Walsh system

ASJC Scopus subject areas

General Mathematics

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10.1007/s10998-014-0076-6

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abstract = "In this paper we prove a weak type (1, 1) inequality for the maximal operator sup n, m | σ n, m | (n + m) ε for any ε > 0. This allows us to reach some inequalities which hold almost everywhere. Moreover, we improve the result of Wade presented in (Proceedings of A. Haar memorial conference, 1987).",

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author = "Ushangi Goginava and K{\'a}roly Nagy",

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KW - Fejér means

KW - Hardy space

KW - Pointwise convergence

KW - Two-dimensional system

KW - Walsh group

KW - Walsh system

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The two-dimensional Fejér means on diagonal Hardy space

Abstract

Keywords

ASJC Scopus subject areas

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