Authors: Stević, Stevo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Boundedness and compactness of an integral operator between H ∞ and a mixed norm space on the polydisk
Journal: Siberian Mathematical Journal
Volume: 50
Issue: 3
First page: 495
Last page: 497
Issue Date: 1-Jun-2009
Rank: M23
ISSN: 0037-4466
DOI: 10.1007/s11202-009-0055-y
Abstract: 
This addendum to [1] completely characterizes the boundedness and compactness of a recently introduced integral type operator from the space of bounded holomorphic functions H ∞( Dn ) on the unit polydisk Dn to the mixed norm space Aαp,q Dn with p, q [1,∞) and α = (α1, ..., α n ) such that α j > -1 for every j = 1, ..., n. We show that the operator is bounded if and only if it is compact and if and only if g Aα+qp,q Dn, where q = (q, ..., q).
Keywords: Bounded analytic function | Boundedness | Compactness | Integral operator | Mixed norm space | Polydisk
Publisher: Springer Link

Show full item record

SCOPUSTM   
Citations

19
checked on Nov 11, 2024

Page view(s)

14
checked on Nov 11, 2024

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.