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Mathematical notes of NEFU, 2022, Volume 29, Issue 2, Pages 82–87
DOI: https://doi.org/10.25587/SVFU.2022.18.18.007 (Mi svfu352) 		 
Mathematics

A note on a new sharp result in spaces of pluriharmonic functions and related problems

R. F. Shamoyan

Bryansk State Technical University
Full-text PDF (242 kB)
DOI: https://doi.org/10.25587/SVFU.2022.18.18.007
Abstract: We provide a new sharp result for classical Bergman spaces of pluriharmonic functions related with the trace operator extending previously known assertions. Related new estimates for other pluriharmonic new function spaces in product domains will be also discussed and provided.
Keywords: trace operator, pluriharmonic functions, analytic functions, Bergman space, mixed norm spaces, polydisk, unit disk.
Received: 12.11.2021
Accepted: 31.05.2022
Document Type: Article
UDC: 517.55+517.33
Language: Russian
Citation: R. F. Shamoyan, “A note on a new sharp result in spaces of pluriharmonic functions and related problems”, Mathematical notes of NEFU, 29:2 (2022), 82–87
Citation in format AMSBIB
\Bibitem{Sha22}
\by R.~F.~Shamoyan
\paper A note on a new sharp result in spaces of pluriharmonic functions and related problems
\jour Mathematical notes of NEFU
\yr 2022
\vol 29
\issue 2
\pages 82--87
\mathnet{http://mi.mathnet.ru/svfu352}
\crossref{https://doi.org/10.25587/SVFU.2022.18.18.007}
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