Maximal operators of the Fejér means of the two dimensional character system of the p-series field in the kaczmarz rearrangement

U. Goginava

Maximal operators of the Fejér means of the two dimensional character system of the p-series field in the kaczmarz rearrangement

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

Abstract

The main aim of this paper is to prove that the maximal operator σ^* of the Fejér means of the two dimensional character system of the p-series field in the Kaczmarz rearrangement is bounded from the Hardy space H_α to the space L_α for α > 1/2, provided that the supremum in the maximal operator is taken over a positive cone. We also prove that the maximal operator of Fejér means of the two dimensional character system of the p-series field in the Kaczmarz rearrangement is not bounded from the Hardy space H_1/2 to the space weak-L_1/2.

Original language	English
Pages (from-to)	53-63
Number of pages	11
Journal	Acta Mathematica Universitatis Comenianae
Volume	78
Issue number	1
Publication status	Published - 2009
Externally published	Yes

Keywords

Character system
Weak type inequality

ASJC Scopus subject areas

General Mathematics

Cite this

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AB - The main aim of this paper is to prove that the maximal operator σ* of the Fejér means of the two dimensional character system of the p-series field in the Kaczmarz rearrangement is bounded from the Hardy space Hα to the space Lα for α > 1/2, provided that the supremum in the maximal operator is taken over a positive cone. We also prove that the maximal operator of Fejér means of the two dimensional character system of the p-series field in the Kaczmarz rearrangement is not bounded from the Hardy space H1/2 to the space weak-L1/2.

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KW - Weak type inequality

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Maximal operators of the Fejér means of the two dimensional character system of the p-series field in the kaczmarz rearrangement

Abstract

Keywords

ASJC Scopus subject areas

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