A note on the sunouchi operator with respect to the walsh—kaczmarz system

DOI10.1080/00036810108840916zbMath1037.42029OpenAlexW2013408203WikidataQ58261561 ScholiaQ58261561MaRDI QIDQ4411588

Peter L. Simon

Publication date: 17 March 2004

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810108840916

zbMATH Keywords

Sunouchi operatordyadic Hardy spacesquasi-local operatorsWalsh-Kaczmarz functions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on specific compact groups (43A75) (H^p)-spaces (42B30) Other transformations of harmonic type (42C20)

Related Items (2)

On integrability and strong summability of Walsh-Kaczmarz series ⋮ Marcinkiewicz multiplier theorem and the Sunouchi operator for Ciesielski--Fourier series

Cites Work

• Unnamed Item
• \((L^ 1,H)\)-type estimations for some operators with respect to the Walsh-Paley system
• Walsh multipliers and square functions for the Hardy space \(H^1\)
• Martingale Hardy spaces and their applications in Fourier analysis
• Investigations of certain operators with respect to the Vilenkin system
• On the lower bound of Sunouchi's operator with respect to Vilenkin systems
• Two-parameter Vilenkin multipliers and a square function
• The boundedness of the two-parameter Sunouchi operators on Hardy spaces
• Strong summability of Walsh Fourier series

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