Composition Operators Between Hardy and Weighted Bergman Spaces on Convex Domains in C n

DOI10.2307/2160944zbMath0831.47023OpenAlexW4243538090MaRDI QIDQ4845932

Peter R. Mercer, Barbara D. MacCluer

Publication date: 21 August 1995

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

Full work available at URL: https://doi.org/10.2307/2160944

zbMATH Keywords

Hardy spacesmooth boundaryweighted Bergman spaceholomorphic mapbounded, strongly convex domain

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Linear operators on function spaces (general) (47B38) Pseudoconvex domains (32T99)

Related Items (10)

On some product-type operators from Hardy-Orlicz and Bergman-Orlicz spaces to weighted-type spaces ⋮ Composition operators on bounded convex domains in \(\mathbb C^n\) ⋮ Composition operators on weighted Bergman-Orlicz spaces on the ball ⋮ Composition operators on Hardy-Orlicz spaces on the ball ⋮ Leibenzon’s backward shift and composition operators ⋮ Composition operators on Bergman spaces over the punctured plane ⋮ Composition operators induced by symbols defined on a polydisk ⋮ A note on topological and strict transitivity ⋮ Compact composition operators between weighted Bergman spaces on convex domains in \(\mathbb{C}^n\) ⋮ Composition operators induced by smooth self-maps of the real or complex unit balls

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