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Operators with complex Gaussian kernels: boundedness properties

Author: E. R. Negrín
Journal: Proc. Amer. Math. Soc. 123 (1995), 1185-1190
MSC: Primary 47G10; Secondary 47B38
MathSciNet review: 1227527
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Abstract: Boundedness properties are stated for some operators from $ {L^p}(\mathbb{R})$ into $ {L^q}(\mathbb{R}),1 \leq p,q \leq \infty $, with complex Gaussian kernels. Their contraction properties are also analysed.

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Keywords: Lebesgue measure, bounded operator, contraction, Gaussian kernels
Article copyright: © Copyright 1995 American Mathematical Society

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