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",

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journal = "Georgian Mathematical Journal",

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AB - The boundedness of Cesáro 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.

KW - Cesáro summability

KW - Martingale Hardy spaces

KW - Walsh function

UR - https://www.scopus.com/pages/publications/85026062329

UR - https://www.scopus.com/pages/publications/85026062329#tab=citedBy

U2 - 10.1515/GMJ.2000.475

DO - 10.1515/GMJ.2000.475

M3 - Article

AN - SCOPUS:85026062329

SN - 1072-947X

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JO - Georgian Mathematical Journal

JF - Georgian Mathematical Journal

IS - 3

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