Walsh Multipliers for Dyadic Hardy Spaces

DOI10.1080/0003681031000148564zbMath1032.42032OpenAlexW2020586260WikidataQ58247738 ScholiaQ58247738MaRDI QIDQ4440453

James E. Daly, Sandor Fridli

Publication date: 18 December 2003

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

Full work available at URL: https://doi.org/10.1080/0003681031000148564

zbMATH Keywords

Walsh functionsdyadic Hardy spacesdyadic blocksWalsh multiplier operator

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (5)

Piecewise polynomial approximation methods in the theory of Nikol'skiĭ-Besov spaces ⋮ On the summability of double Walsh--Fourier series of functions of bounded generalized variation ⋮ Trigonometric multipliers on real periodic Hardy spaces ⋮ Hörmander multipliers on two-dimensional dyadic Hardy spaces ⋮ Marcinkiewicz multiplier theorem and the Sunouchi operator for Ciesielski--Fourier series

Cites Work

• Estimates for translation invariant operators in \(L^p\) spaces
• \((L^ 1,H)\)-type estimations for some operators with respect to the Walsh-Paley system
• Walsh multipliers and square functions for the Hardy space \(H^1\)
• H^p MULTIPLIER RESULTS ON LOCALLY COMPACT VILENKIN GROUPS
• A Note on H¹ Multipliers for Locally Compact Vilenkin Groups
• Littlewood-Paley and Multiplier Theorems for Vilenkin-Fourier Series
• Hardy spaces generated by an integrability condition

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