Maximal operators of Fejér means of Vilenkin-Fourier series

István Blahota; Gát György; Ushangi Goginava

Maximal operators of Fejér means of Vilenkin-Fourier series

István Blahota, Gát György, Ushangi Goginava

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

Abstract

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

Original language	English
Article number	149
Journal	Journal of Inequalities in Pure and Applied Mathematics
Volume	7
Issue number	4
Publication status	Published - 2006
Externally published	Yes

Keywords

Hardy space
Maximal operator
Vilenkin system

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Cite this

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title = "Maximal operators of Fej{\'e}r means of Vilenkin-Fourier series",

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

keywords = "Hardy space, Maximal operator, Vilenkin system",

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

year = "2006",

language = "English",

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publisher = "Victoria University of Technology",

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AU - Blahota, István

AU - György, Gát

AU - Goginava, Ushangi

PY - 2006

Y1 - 2006

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

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

KW - Hardy space

KW - Maximal operator

KW - Vilenkin system

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JO - Journal of Inequalities in Pure and Applied Mathematics

JF - Journal of Inequalities in Pure and Applied Mathematics

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M1 - 149

ER -

Maximal operators of Fejér means of Vilenkin-Fourier series

Abstract

Keywords

ASJC Scopus subject areas

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