Bounded and Compact Integral Operators (Mathematics and Its - download pdf or read online

By David E. Edmunds,V.M Kokilashvili,Alexander Meskhi

ISBN-10: 1402006195

ISBN-13: 9781402006197

ISBN-10: 9048160189

ISBN-13: 9789048160181

The monograph provides many of the authors' contemporary and unique effects bearing on boundedness and compactness difficulties in Banach functionality areas either for classical operators and essential transforms outlined, in general talking, on nonhomogeneous areas. Itfocuses onintegral operators clearly coming up in boundary price difficulties for PDE, the spectral thought of differential operators, continuum and quantum mechanics, stochastic tactics and so on. The publication should be regarded as a scientific and distinctive research of a giant category of particular critical operators from the boundedness and compactness standpoint. A attribute function of the monograph is that almost all of the statements proved right here have the shape of standards. those standards allow us, for instance, togive var­ ious particular examples of pairs of weighted Banach functionality areas governing boundedness/compactness of a large classification of vital operators. The e-book has major components. the 1st half, which include Chapters 1-5, covers theinvestigation ofclassical operators: Hardy-type transforms, fractional integrals, potentials and maximal capabilities. Our major objective is to provide an entire description of these Banach functionality areas during which the above-mentioned operators act boundedly (com­ pactly). whilst a given operator isn't bounded (compact), for instance in a few Lebesgue house, we glance for weighted areas the place boundedness (compact­ ness) holds. We increase the tips and the recommendations for the derivation of applicable stipulations, by way of weights, that are such as bounded­ ness (compactness).

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Bounded and Compact Integral Operators (Mathematics and Its Applications) by David E. Edmunds,V.M Kokilashvili,Alexander Meskhi

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