A note on traces of some holomorphic spaces on polyballs

We study a new trace problem for functions holomorphic on polyballs which generalize a known diagonal map problem for polydisk. Also, we give descriptions of traces for several concrete functional classes on polyballs defined with the help of area operator or Bergman metric ball.

Bibliographic Details
Main Authors: Romi F. Shamoyan, Olivera R. Mihic
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2010/784896