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On a Class of Integral Operators

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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 \({\mathbb{C}}^n\).

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  1. Department of Mathematics, The University of Toledo, Mail Stop 942, Toledo, OH, 43606-3390, USA

    Ovidiu Furdui

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  1. Ovidiu Furdui
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Correspondence to Ovidiu Furdui.

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Furdui, O. On a Class of Integral Operators. Integr. equ. oper. theory 60, 469–483 (2008). https://doi.org/10.1007/s00020-008-1572-y

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  • DOI: https://doi.org/10.1007/s00020-008-1572-y

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