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Products of Hankel and Toeplitz Operators on the Bergman Space

✍ Scribed by Karel Stroethoff; Dechao Zheng

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 245 KB
Volume: 169
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1999.3489

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✦ Synopsis

We consider the question for which square integrable analytic functions f and g on the unit disk the densely defined products T f T gÄ are bounded on the Bergman space. We prove results analogous to those obtained by the second author [17] for such Toeplitz products on the Hardy space. We furthermore obtain similar results for Hankel products H f H g * , where f and g are square integrable on the unit disk, and for the mixed Haplitz products H f T gÄ and T g H f * , where f and g are square integrable on the unit disk and g is analytic.

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