Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2009-02-01

Journal: CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES

Included Journals: Scopus、SCIE

Volume: 61

Issue: 1

Page Number: 190-204

ISSN: 0008-414X

Key Words: Toeplitz operator; Hankel operator; Haplitz products; Bergman space; polydisk

Abstract: We consider the problem of determining for which square integrable functions f and g on the polydisk the densely defined Hankel product H(f) H(g)(*) is bounded on the Bergman space of the polydisk. Furthermore, we obtain similar results for the mixed Haplitz products H(g)T((f) over bar) and T(f)H(g)(*), where f and g are square integrable on the polydisk and f is analytic.