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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2015 Issue 4(25), Pages 87–95 (Mi pfmt415)

MATHEMATICS

On sharp traces of some new analytic Herz-type spaces in Siegel domains in $\mathbb{C}^n$

R. F. Shamoyan, O. A. Zaytseva

Bryansk State University

Abstract: We provide complete characterizations of traces of some new analytic spaces of Herz-type in polydisk, unit ball and tubular domains over symmetric cones and bounded pseudoconvex domains with smooth boundary under additional natural condition on kernel. Our results extend previously known assertions.

Keywords: analytic functions, Herz-type spaces, polydisk, tubular domains, pseudoconvex domains.

UDC: 517.553

MSC: Primary 42B15; Secondary 42B30

Received: 09.09.2015

Language: English



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