Universität zu Köln

Harutyunyan, A. V. and Marinescu, G. (2018). Hankel and Berezin Type Operators on Weighted Besov Spaces of Holomorphic Functions on Polydisks. J. Contemp. Math. Anal.-Armen. Aca., 53 (2). S. 77 - 88. NEW YORK: ALLERTON PRESS INC. ISSN 1934-9416

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Abstract

Let S be the space of functions of regular variation and let omega = (omega (1),..., omega (n)), omega (j) a S. The weighted Besov space of holomorphic functions on polydisks, denoted by B (p) (omega) (0 < p < +a), is defined to be the class of all holomorphic functions f defined on the polydisk U (n) such that , where dm (2n)(z) is the 2ndimensional Lebesgue measure on U (n) and D stands for a special fractional derivative of f.We prove some theorems concerning boundedness of the generalized little Hankel and Berezin type operators on the spaces B (p) (omega) and L (p) (omega) (the weighted L (p) -space).

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Harutyunyan, A. V. UNSPECIFIED UNSPECIFIED UNSPECIFIED Marinescu, G. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-193985
DOI:	10.3103/S1068362318020036
Journal or Publication Title:	J. Contemp. Math. Anal.-Armen. Aca.
Volume:	53
Number:	2
Page Range:	S. 77 - 88
Date:	2018
Publisher:	ALLERTON PRESS INC
Place of Publication:	NEW YORK
ISSN:	1934-9416
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language BERGMAN SPACES Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/19398