Interpolation and inner maps that preserve measure

DOI10.1016/0022-1236(84)90018-1zbMath0531.32002OpenAlexW2051984120MaRDI QIDQ788153

Boguslaw Tomaszewski

Publication date: 1984

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90018-1

zbMATH Keywords

Haar measure on n-sphereHolomorphic mapinner mapinterpolation on n- ball

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Continuation of analytic objects in several complex variables (32D15) Interpolation in approximation theory (41A05) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Holomorphic functions of several complex variables (32A10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Global boundary behavior of holomorphic functions of several complex variables (32E35)

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Cites Work

• Unnamed Item
• Inner functions in the unit ball of \({\mathbb{C}}^ n\)
• A construction of inner functions on the unit ball in \(C^ p\)
• THE EXISTENCE OF INNER FUNCTIONS IN THE BALL
• Some Sharp Weak-Type Inequalities for Holomorphic Functions on the Unit Ball of C n