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On a Class of Integral Operators

Authors:	Ovidiu Furdui

Affiliation:	(1) Department of Mathematics, The University of Toledo, Mail Stop 942, Toledo, OH 43606-3390, USA

Abstract:	In this paper we consider the space $L^{p}({mathbb{C}}^{n}, dv_{s})$ where dv _s is the Gaussian probability measure. We give necessary and sufficient conditions for the boundedness of some classes of integral operators on these spaces. These operators are generalizations of the classical Bergman projection operator induced by kernel function of Fock spaces over ${mathbb{C}}^n$ .

Keywords:	Primary 47G10 Secondary 32A36, 32A37
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