A note on Thewalsh-Fejér means

The main aim of this paper is to prove that the maximal operator σ # is not bounded from the martingale Hardy space H p ( G ) to the martingale Hardy space H p ( G ) for 0 < p ≤ 1.

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Bibliographic Details
Published inAnalysis in theory & applications Vol. 26; no. 4; pp. 320 - 325
Main Author Goginava, Ushahgi
Format Journal Article
LanguageEnglish
Published Heidelberg Editorial Board of Analysis in Theory and Applications 01.12.2010
Subjects
Analysis
Approximations and Expansions
Mathematics
Mathematics and Statistics
42C10
Fejér means
Walsh function
Hardy space
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ISSN1672-4070
1573-8175
DOI10.1007/s10496-010-0320-8

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Summary:The main aim of this paper is to prove that the maximal operator σ # is not bounded from the martingale Hardy space H p ( G ) to the martingale Hardy space H p ( G ) for 0 < p ≤ 1.
ISSN:1672-4070
1573-8175
DOI:10.1007/s10496-010-0320-8