Strong summability theorems for Hp(Δd)

Ushangi Goginava; Larry Gogoladze

doi:10.1007/s10474-012-0235-2

Strong summability theorems for H_p(Δ_d)

Ushangi Goginava
, Larry Gogoladze

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

2 Citations (Scopus)

Abstract

We prove that certain means of the (C,α,...,α)-means (α=1/p-1) of the d-dimensional trigonometric Fourier series are uniformly bounded operators from the Hardy space H_p to H_p (1≦p≦2). As a consequence we obtain strong summability theorems concerning (C,α,...,α)-means.

Original language	English
Pages (from-to)	259-266
Number of pages	8
Journal	Acta Mathematica Hungarica
Volume	138
Issue number	3
DOIs	https://doi.org/10.1007/s10474-012-0235-2
Publication status	Published - Feb 2013
Externally published	Yes

Keywords

Hardy space
strong summability

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s10474-012-0235-2

Cite this

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AB - We prove that certain means of the (C,α,...,α)-means (α=1/p-1) of the d-dimensional trigonometric Fourier series are uniformly bounded operators from the Hardy space Hp to Hp (1≦p≦2). As a consequence we obtain strong summability theorems concerning (C,α,...,α)-means.

KW - Hardy space

KW - strong summability

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