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Indexed by:期刊论文

Date of Publication:2009-02-01

Journal:CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES

Included Journals:SCIE、Scopus

Volume:61

Issue:1

Page Number:190-204

ISSN No.: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.