On the behavior of holomorphic functions near maximum modulus sets

DOI10.1007/BF01450930zbMath0589.32010MaRDI QIDQ1073973

Wade C. Ramey

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164189

zbMATH Keywords

holomorphic functionsboundary behavior along non-radial pathsLindelöf principle in \({\mathbb{C}}^ n\)maximum modulus setRudin

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Boundary behavior of holomorphic functions of several complex variables (32A40) Other generalizations of function theory of one complex variable (32A30)

Related Items (1)

Finite interpolation with minimum uniform norm in \(\mathbb{C}^n\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the behavior near a torus of functions holomorphic in the ball
• Maximum modulus sets
• Boundary Behavior of BMO(B n )
• Local Boundary Behavior of Bounded Holomorphic Functions

This page was built for publication: On the behavior of holomorphic functions near maximum modulus sets