Bounded Toeplitz products on the Bergman space of the polydisk

Karel Stroethoff; Dechao Zheng

doi:10.1016/S0022-247X(02)00578-4

Bounded Toeplitz products on the Bergman space of the polydisk

Karel Stroethoff
, Dechao Zheng

Mathematical Sciences

Vanderbilt University

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

We consider the question for which square integrable analytic functions f and g on the polydisk the densely defined products T_f T_̄g are bounded on the Bergman space. We prove results analogous to those we obtained in the setting of the unit disk [K. Stroethoff, D. Zheng, J. Funct. Anal. 169 (1999) 289-313].

Original language	English
Pages (from-to)	125-135
Number of pages	11
Journal	Journal of Mathematical Analysis and Applications
Volume	278
Issue number	1
DOIs	https://doi.org/10.1016/S0022-247X(02)00578-4
State	Published - Feb 1 2003

Funding

* Corresponding author. E-mail addresses: [email protected] (K. Stroethoff), [email protected] (D. Zheng). 1 The author was supported in part by the National Science Foundation.

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abstract = "We consider the question for which square integrable analytic functions f and g on the polydisk the densely defined products Tf {\=T}g are bounded on the Bergman space. We prove results analogous to those we obtained in the setting of the unit disk [K. Stroethoff, D. Zheng, J. Funct. Anal. 169 (1999) 289-313].",

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N2 - We consider the question for which square integrable analytic functions f and g on the polydisk the densely defined products Tf T̄g are bounded on the Bergman space. We prove results analogous to those we obtained in the setting of the unit disk [K. Stroethoff, D. Zheng, J. Funct. Anal. 169 (1999) 289-313].

AB - We consider the question for which square integrable analytic functions f and g on the polydisk the densely defined products Tf T̄g are bounded on the Bergman space. We prove results analogous to those we obtained in the setting of the unit disk [K. Stroethoff, D. Zheng, J. Funct. Anal. 169 (1999) 289-313].

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Bounded Toeplitz products on the Bergman space of the polydisk

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