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A note on traces of some holomorphic spaces on polyballs. (English) Zbl 1218.32003

Summary: 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.

MSC:

32A36 Bergman spaces of functions in several complex variables
32A10 Holomorphic functions of several complex variables
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