On Some (Hp, q, Lp, q)-Type Maximal Inequalities With Respect To The Walsh—Paley System

U. Goginava

doi:10.1515/GMJ.2000.475

On Some (H_{p, q}, L_{p, q})-Type Maximal Inequalities With Respect To The Walsh—Paley System

U. Goginava

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

5 Citations (Scopus)

Abstract

The boundedness of Cesáro maximal operators for multiple Walsh—Fourier series is studied from the martingale Hardy—Lorentz space H_pq into the Lorentz space L_pq. Supremum in the maximal operators is taken over a positive cone.

Original language	English
Pages (from-to)	475-488
Number of pages	14
Journal	Georgian Mathematical Journal
Volume	7
Issue number	3
DOIs	https://doi.org/10.1515/GMJ.2000.475
Publication status	Published - 2000
Externally published	Yes

Keywords

Cesáro summability
Martingale Hardy spaces
Walsh function

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1515/GMJ.2000.475

Cite this

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title = "On Some (Hp, q, Lp, q)-Type Maximal Inequalities With Respect To The Walsh—Paley System",

abstract = "The boundedness of Ces{\'a}ro maximal operators for multiple Walsh—Fourier series is studied from the martingale Hardy—Lorentz space Hpq into the Lorentz space Lpq. Supremum in the maximal operators is taken over a positive cone.",

keywords = "Ces{\'a}ro summability, Martingale Hardy spaces, Walsh function",

author = "U. Goginava",

year = "2000",

doi = "10.1515/GMJ.2000.475",

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journal = "Georgian Mathematical Journal",

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KW - Cesáro summability

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KW - Walsh function

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