Maximal operators of fejÉr means of double vilenkin-fourier series

István Blahota; György Gát; Ushangi Goginava

doi:10.4064/cm107-2-8

Maximal operators of fejÉr means of double vilenkin-fourier series

István Blahota, György Gát, Ushangi Goginava

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

18 Citations (Scopus)

Abstract

The main aim of this paper is to prove that the maximal operator σ^*₀:= sup_n |σ_n,n| of the Fejér means of the double Vilenkin-Fourier series is not bounded from the Hardy space H_1/2 to the space weak-L_1/2.

Original language	English
Pages (from-to)	287-296
Number of pages	10
Journal	Colloquium Mathematicum
Volume	107
Issue number	2
DOIs	https://doi.org/10.4064/cm107-2-8
Publication status	Published - 2007
Externally published	Yes

Keywords

Hardy space
Maximal operator
Vilenkin system

ASJC Scopus subject areas

General Mathematics

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10.4064/cm107-2-8

Cite this

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abstract = "The main aim of this paper is to prove that the maximal operator σ*0:= supn |σn,n| of the Fej{\'e}r means of the double Vilenkin-Fourier series is not bounded from the Hardy space H1/2 to the space weak-L1/2.",

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AU - Blahota, István

AU - Gát, György

AU - Goginava, Ushangi

PY - 2007

Y1 - 2007

N2 - The main aim of this paper is to prove that the maximal operator σ*0:= supn |σn,n| of the Fejér means of the double Vilenkin-Fourier series is not bounded from the Hardy space H1/2 to the space weak-L1/2.

AB - The main aim of this paper is to prove that the maximal operator σ*0:= supn |σn,n| of the Fejér means of the double Vilenkin-Fourier series is not bounded from the Hardy space H1/2 to the space weak-L1/2.

KW - Hardy space

KW - Maximal operator

KW - Vilenkin system

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Maximal operators of fejÉr means of double vilenkin-fourier series

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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