Weak type inequality for the one-dimensional dyadic derivative

Ushangi Goginava

doi:10.7153/mia-14-70

Weak type inequality for the one-dimensional dyadic derivative

Ushangi Goginava

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

Abstract

It is shown that the maximal operator of the one-dimensional dyadic derivative of the dyadic integral is bounded from the dyadic Hardy space H ₁/₂ to the space weak-L₁/_2/.

Original language	English
Pages (from-to)	839-848
Number of pages	10
Journal	Mathematical Inequalities and Applications
Volume	14
Issue number	4
DOIs	https://doi.org/10.7153/mia-14-70
Publication status	Published - Oct 2011
Externally published	Yes

Keywords

Dyadic derivative
Hardy space
Walsh function

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.7153/mia-14-70

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title = "Weak type inequality for the one-dimensional dyadic derivative",

abstract = "It is shown that the maximal operator of the one-dimensional dyadic derivative of the dyadic integral is bounded from the dyadic Hardy space H 1/2 to the space weak-L1/2/.",

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

author = "Ushangi Goginava",

year = "2011",

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language = "English",

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AB - It is shown that the maximal operator of the one-dimensional dyadic derivative of the dyadic integral is bounded from the dyadic Hardy space H 1/2 to the space weak-L1/2/.

KW - Dyadic derivative

KW - Hardy space

KW - Walsh function

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Weak type inequality for the one-dimensional dyadic derivative

Abstract

Keywords

ASJC Scopus subject areas

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