Equivalent norms on \(L^ p\) spaces of harmonic functions

DOI10.1007/BF01530689zbMath0517.31003MaRDI QIDQ1053156

Daniel H. Luecking

Publication date: 1983

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178143

zbMATH Keywords

equivalent normsspaces of harmonic functions

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) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (5)

A note on L p spaces of harmonic functions ⋮ Reproducing kernels for harmonic Bergman spaces of the unit ball ⋮ Toeplitz operators on weighted harmonic Bergman spaces ⋮ Carleson and reverse Carleson measures on homogeneous Siegel domains ⋮ Embedding theorems for Bergman spaces in quasiconformal balls

Cites Work

• Unnamed Item
• Inequalities on Bergman spaces
• Closed-ranged restriction operators on weighted Bergman spaces
• Division in Douglas algebras
• \(H^p\) spaces of several variables
• Forward and Reverse Carleson Inequalities for Functions in Bergman Spaces and Their Derivatives

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