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Synopsis
In a systematic and detailed analysis of a large class of specific integral operators from the boundedness and compactness perspective, mathematicians Edmunds (U. of Sussex), Vakhtang Kokilashvili, and Alexander Meskhi (both Georgian Academy of Sciences-Tbilisi) present some of their own recent results concerning boundedness and compactness problems in Banach function spaces both for classical operators and integral transforms defined on general on nonhomogeneous spaces. They focus on integral operators naturally arising in boundary value problems for partial differential equations, the spectral theory of differential operators, continuum and quantum mechanics, and stochastic processes. Annotation (c)2003 Book News, Inc., Portland, OR