Shamoyan, Romi F.; Mihić, Olivera R. A note on traces of some holomorphic spaces on polyballs. (English) Zbl 1218.32003 J. Funct. Spaces Appl. 8, No. 3, 271-285 (2010). 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. Cited in 4 Documents MSC: 32A36 Bergman spaces of functions in several complex variables 32A10 Holomorphic functions of several complex variables Keywords:holomorphic function; polyball; weighted Bergman space; Bergman metric ball; area operator; fractional derivative; trace problem PDFBibTeX XMLCite \textit{R. F. Shamoyan} and \textit{O. R. Mihić}, J. Funct. Spaces Appl. 8, No. 3, 271--285 (2010; Zbl 1218.32003) Full Text: DOI