On traces of analytic Gp type spaces, mixed norm spaces and harmonic Bergman classes on certain polydomains

In this paper, we introduce new Qp type spaces and mixed norm analytic function spaces on polyballs and describe completely their traces on unit ball. Complete descriptions of traces of harmonic Bergman classes on products of unit balls of Rn and products of Rn+1 half spaces will be also provided. n...

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Veröffentlicht in:Filomat 2011, Vol.25 (1), p.1-19
Hauptverfasser: Shamoyan, Romi, Mihic, Olivera
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we introduce new Qp type spaces and mixed norm analytic function spaces on polyballs and describe completely their traces on unit ball. Complete descriptions of traces of harmonic Bergman classes on products of unit balls of Rn and products of Rn+1 half spaces will be also provided. nema
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1101001S