Harmonic conjugation in L1 on compact abelian groups

DOI10.1017/S0305004100075204zbMath0832.42004OpenAlexW2318202296MaRDI QIDQ3994052

Saleem Watson, Nakhlé H. Asmar

Publication date: 13 August 1992

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100075204

zbMATH Keywords

conjugate functionbounded mean oscillationcompact connected Abelian group

Mathematics Subject Classification ID

Other transforms and operators of Fourier type (43A32) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Conjugate functions, conjugate series, singular integrals (42A50) General properties and structure of LCA groups (22B05) Analysis on ordered groups, (H^p)-theory (43A17)

Cites Work

• The generalized M. Riesz theorem and transference
• Distributional control and generalized analyticity
• Representations of groups with ordered duals and generalized analyticity
• The Conjugate Function on the Finite Dimensional Torus
• ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS
• Maximal Functions and H ^p Spaces Defined by Ergodic Transformations
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