Decompositions of \(L^p\) and Hardy spaces of polyharmonic functions

DOI10.1006/jmaa.1997.5675zbMath0912.46032OpenAlexW2034231550MaRDI QIDQ1378742

Miroslav Pavlović

Publication date: 9 February 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5675

zbMATH Keywords

Poisson integralHardy spacesharmonic functionsisomorphismpolyharmonic functionsdirect sumAlmansi representation theoremnormalized surface measure

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Banach spaces of continuous, differentiable or analytic functions (46E15)

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Cites Work

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• Lipschitz spaces of functions on the circle and the disc
• \(H^p\) spaces of several variables
• Inequalities for the Integral Means of Holomorphic Functions and their Derivatives in the Unit Ball of C n
• Notes on the Theory of Series (XVII) : Some New Convergence Criteria for Fourier Series

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