Compact Composition Operators on L 1

DOI10.2307/2048293zbMath0704.47018OpenAlexW4248523288MaRDI QIDQ3483874

Joel H. Shapiro, C.-E. Sundberg

Publication date: 1990

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

Full work available at URL: https://doi.org/10.2307/2048293

zbMATH Keywords

Hardy spacePoisson integralNevanlinna counting functionRiesz masscompact composition operators on \(L^ 1\)

Mathematics Subject Classification ID

Related Items (16)

Composition operators on weighted Bergman-Orlicz spaces ⋮ On compactness of the difference of composition operators ⋮ Boundary correspondence of Nevanlinna counting functions for self-maps of the unit disc ⋮ A generalization of the Aleksandrov operator and adjoints of weighted composition operators ⋮ Essentially normal composition operators on \(H^{2}\) ⋮ Nevanlinna counting function and Carleson function of analytic maps ⋮ On function-theoretic conditions characterizing compact composition operators on \(H^2\) ⋮ Topological properties of path connected components in spaces of weighted composition operators into \(L^{1}\) ⋮ On the connected component of compact composition operators on the Hardy space ⋮ Composition operators between Nevanlinna-type spaces ⋮ Essential norms of weighted composition operators and Aleksandrov measures ⋮ Composition operators from the space of Cauchy transforms into its Hardy-type subspaces ⋮ Completely Continuous Composition Operators ⋮ On Compactness of Composition Operators in Hardy Spaces of Several Variables ⋮ Spectral theory for algebraic combinations of Toeplitz and composition operators ⋮ Linear relations in the Calkin algebra for composition operators

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