Composition operators induced by smooth self-maps of the unit ball in \(\mathbb C^{N}\)

DOI10.1016/j.jmaa.2006.06.065zbMath1115.32004OpenAlexW1964193842MaRDI QIDQ868810

Wayne Smith, Hyungwoon Koo

Publication date: 26 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.065

zbMATH Keywords

Hardy spaceweighted Bergman spaceboundedness criteriasmooth composition operatorunit ball in \(\mathbb C_N\)

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Bergman spaces of functions in several complex variables (32A36)

Related Items

Composition operators on bounded convex domains in \(\mathbb C^n\), Compact double differences of composition operators on the Bergman spaces over the ball, Composition operators on the Bergman space with quasiconformal symbols, Composition operators on the polydisk induced by affine maps, Compact differences of composition operators on the Bergman spaces over the ball, Composition operators on distinct Bergman spaces over planar domains, Compact differences of composition operators over polydisks, Composition operators on the polydisc induced by smooth symbols, Topological structure of the set of composition operators on the weighted Bergman space, COMPACT DIFFERENCES OF COMPOSITION OPERATORS ON BERGMAN SPACES IN THE BALL, Joint Carleson measure and the difference of composition operators on \(A_\alpha^p(\mathbb{B}_n)\), Composition operators on holomorphic Sobolev spaces in \(B_n\), Weighted Differentiation Composition Operators from Mixed-Norm to Zygmund Spaces, Compact linear combinations of composition operators induced by linear fractional maps, On a Li--Stević integral-type operators between different weighted Bloch-type spaces, Composition operators induced by smooth self-maps of the real or complex unit balls, On a Li–Stević integral-type operator from Bloch-type spaces into logarithmic Bloch spaces, Composition operators on the polydisc

Cites Work

• Interpolations by bounded analytic functions and the corona problem
• SPECTRA OF COMPACT COMPOSITION OPERATORS ON HP(RN )
• Angular Derivatives and Compact Composition Operators on the Hardy and Bergman Spaces
• Unbounded Composition Operators on H 2 (B 2 )
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