The Hardy type inequality for the maximal operator of the one-dimensional dyadic derivative

Ushangi Goginava

doi:10.1016/S0252-9602(11)60334-2

The Hardy type inequality for the maximal operator of the one-dimensional dyadic derivative

Ushangi Goginava

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

2 Citations (Scopus)

Abstract

In this paper we prove that the maximal operator I* of dyadic derivative is not bounded from the Hardy space H_p[0,1] to the Hardy space H_p[0,1], when 0 < p ≤ 1.

Original language	English
Pages (from-to)	1489-1493
Number of pages	5
Journal	Acta Mathematica Scientia
Volume	31
Issue number	4
DOIs	https://doi.org/10.1016/S0252-9602(11)60334-2
Publication status	Published - Jul 2011
Externally published	Yes

Keywords

Dyadic derivative
Hardy space
Walsh function

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy

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10.1016/S0252-9602(11)60334-2

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abstract = "In this paper we prove that the maximal operator I* of dyadic derivative is not bounded from the Hardy space Hp[0,1] to the Hardy space Hp[0,1], when 0 < p ≤ 1.",

keywords = "Dyadic derivative, Hardy space, Walsh function",

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AB - In this paper we prove that the maximal operator I* of dyadic derivative is not bounded from the Hardy space Hp[0,1] to the Hardy space Hp[0,1], when 0 < p ≤ 1.

KW - Dyadic derivative

KW - Hardy space

KW - Walsh function

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The Hardy type inequality for the maximal operator of the one-dimensional dyadic derivative

Abstract

Keywords

ASJC Scopus subject areas

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