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On a Class of Integral Operators
Authors:Ovidiu Furdui
Institution:(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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