Fourier multiplier theorem for atomic Hardy spaces on unbounded Vilenkin groups

DOI10.1016/J.JMAA.2009.09.037zbMath1183.43003OpenAlexW2075920080WikidataQ57621857 ScholiaQ57621857MaRDI QIDQ1046509

Muharem Avdispahić, Nacima Memić

Publication date: 22 December 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.09.037

zbMATH Keywords

Hardy spacemultiplierVilenkin group

Mathematics Subject Classification ID

Means on groups, semigroups, etc.; amenable groups (43A07) Analysis on ordered groups, (H^p)-theory (43A17) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (2)

Maximal functions, Hardy spaces and Fourier multiplier theorems on unbounded Vilenkin groups ⋮ On the Lebesgue test for convergence of Fourier series on unbounded Vilenkin groups

Cites Work

• On the Dirichlet kernels and a Hardy space with respect to the Vilenkin system
• An integrability theorem on unbounded Vilenkin groups
• Investigations of certain operators with respect to the Vilenkin system
• Strong convergence theorem for Vilenkin-Fourier series
• H^p MULTIPLIER RESULTS ON LOCALLY COMPACT VILENKIN GROUPS
• A Note on H¹ Multipliers for Locally Compact Vilenkin Groups
• Summability and integrability of Vilenkin series
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