The maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series

István Blahota; Ushangi Goginava

doi:10.1556/SScMath.2008.1053

The maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series

István Blahota
, Ushangi Goginava

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

5 Citations (Scopus)

Abstract

In this paper we prove that the maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series is not bounded from the Hardy space H _2/3(G ²) to the space L _2/3(G ²).

Original language	English
Pages (from-to)	321-331
Number of pages	11
Journal	Studia Scientiarum Mathematicarum Hungarica
Volume	45
Issue number	3
DOIs	https://doi.org/10.1556/SScMath.2008.1053
Publication status	Published - Sept 2008
Externally published	Yes

Keywords

Marcinkiewicz-Fejér means
Maximal operator
Vilenkin system

ASJC Scopus subject areas

General Mathematics

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10.1556/SScMath.2008.1053

Cite this

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title = "The maximal operator of the Marcinkiewicz-Fej{\'e}r means of the 2-dimensional Vilenkin-Fourier series",

abstract = "In this paper we prove that the maximal operator of the Marcinkiewicz-Fej{\'e}r means of the 2-dimensional Vilenkin-Fourier series is not bounded from the Hardy space H 2/3(G 2) to the space L 2/3(G 2).",

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AU - Blahota, István

AU - Goginava, Ushangi

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Y1 - 2008/9

N2 - In this paper we prove that the maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series is not bounded from the Hardy space H 2/3(G 2) to the space L 2/3(G 2).

AB - In this paper we prove that the maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series is not bounded from the Hardy space H 2/3(G 2) to the space L 2/3(G 2).

KW - Marcinkiewicz-Fejér means

KW - Maximal operator

KW - Vilenkin system

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JO - Studia Scientiarum Mathematicarum Hungarica

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ER -

The maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series

Abstract

Keywords

ASJC Scopus subject areas

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