Hardy spaces and partial derivatives of conjugate harmonic functions

DOI10.1090/S0002-9939-07-08940-XzbMath1128.42011OpenAlexW1986402338MaRDI QIDQ3438111

Anatoly Ryabogin, Dmitri Ryabogin

Publication date: 15 May 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08940-x

zbMATH Keywords

subharmonic functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Boundary value problems in the complex plane (30E25) (H^p)-spaces (42B30)

Related Items (1)

Some properties of conjugate harmonic functions in a half-space

Cites Work

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• On the theory of harmonic functions of several variables
• \(H^p\) spaces of several variables
• Classes of Subharmonic Functions in Rⁿ ×(0,+ ∞)
• Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group
• On higher gradients of harmonic functions
• Inequalities for the p th Mean Values of Harmonic and Subharmonic Functions with p ⩽ 1
• A Maximal Function Characterization of the Class H p

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