Hausdorff–Berezin and Hausdorff–Zhu Operators on Bidisc

The article introduces and studies Hausdorff–Berezin and Hausdorff–Zhu type operators on bidisc. These operators are natural generalization of the Berezin transform and some other classical operators of mathematical physics. Sufficient and necessary conditions for boundedness of such operators in th...

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Bibliographic Details

Published in:	Lobachevskii journal of mathematics Vol. 45; no. 12; pp. 6094 - 6110
Main Authors:	Grigorian, V. A., Karapetyants, A. N.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.12.2024
Subjects:	Algebra Analysis Geometry Mathematical Logic and Foundations Mathematics Mathematics and Statistics Probability Theory and Stochastic Processes Berezin transform 2010 Mathematics Subject Classification: 47G10; 47B38; 46E30 Hausdorff operators Haar measure Möbius group
ISSN:	1995-0802, 1818-9962
Online Access:	Get full text
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