Bounded holomorphic functions and maps with some boundary behavior

DOI10.1016/S0022-247X(03)00471-2zbMath1031.32003OpenAlexW2077825612MaRDI QIDQ1410274

Toshio Matsushima

Publication date: 14 October 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00471-2

zbMATH Keywords

bounded holomorphic functiontheorems of Fatou typeboundary behavior of holomorphic mappingbounded holomorphic map with wild boundary behaviorlinear cluster set of positive measure

Mathematics Subject Classification ID

Boundary behavior of holomorphic functions of several complex variables (32A40) Global boundary behavior of holomorphic functions of several complex variables (32E35)

Cites Work

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• A construction of inner functions on the unit ball in \(C^ p\)
• THE EXISTENCE OF INNER FUNCTIONS IN THE BALL
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
• Bounded holomorphic function with some boundary behavior in the unit ball of \(\mathbb{C}^n\)