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JOURNALS // Mathematical notes of NEFU // Archive

Mathematical notes of NEFU, 2022 Volume 29, Issue 2, Pages 82–87 (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

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.

UDC: 517.55+517.33

Received: 12.11.2021
Accepted: 31.05.2022

DOI: 10.25587/SVFU.2022.18.18.007



© Steklov Math. Inst. of RAS, 2025