The essential norms of composition operators

DOI10.1017/S0017089500008661zbMath0786.47027MaRDI QIDQ4019691

Boo Rim Choe

Publication date: 16 January 1993

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

composition operatorsNevanlinna counting functionCarleson measure conditionsessential norms for composition operators

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators on function spaces (general) (47B38) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Related Items (4)

Essential norm of composition operators on the Hardy space \(H ^{1}\) and the weighted Bergman spaces \({A_{\alpha}^{p}}\) on the ball ⋮ Nevanlinna counting function and Carleson function of analytic maps ⋮ Clark measures on the complex sphere ⋮ Spectra of linear fractional composition operators onH²(B_N)

Cites Work

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• Composition property of holomorphic functions on the ball
• Interpolation and inner maps that preserve measure
• Compact composition operators on \(H^ p(B_ N)\)
• Linear fractional composition operators on \(H^ 2\)
• The essential norm of a composition operator
• Weights induced by homogeneous polynomials
• Subordinate \(H^ P\) functions
• Interpolations by bounded analytic functions and the corona problem
• Composition with inner functions
• Angular Derivatives and Compact Composition Operators on the Hardy and Bergman Spaces
• A Carleson Measure Theorem for Bergman Spaces
• Lp Estimates for (Pluri-) Subharmonic Functions.
• Composition Operators

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