The weak type inequality for the Walsh system

Ushangi Goginava

doi:10.4064/sm185-1-2

The weak type inequality for the Walsh system

Ushangi Goginava

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

18 Citations (Scopus)

Abstract

The main aim of this papers to prove that the maximal operator σ^# is bounded from the Hardy space H_1/2 to weak-L_1/2 and is not bounded from H_1/2 to L_1/2.

Original language	English
Pages (from-to)	35-48
Number of pages	14
Journal	Studia Mathematica
Volume	185
Issue number	1
DOIs	https://doi.org/10.4064/sm185-1-2
Publication status	Published - 2008
Externally published	Yes

Keywords

Hardy space
Maximal operator
Walsh function

ASJC Scopus subject areas

General Mathematics

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10.4064/sm185-1-2

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abstract = "The main aim of this papers to prove that the maximal operator σ\# is bounded from the Hardy space H1/2 to weak-L1/2 and is not bounded from H1/2 to L1/2.",

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KW - Maximal operator

KW - Walsh function

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The weak type inequality for the Walsh system

Abstract

Keywords

ASJC Scopus subject areas

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