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Weighted Sobolev theorem in Lebesgue spaces with variable exponent
Authors:N.G. Samko  S.G. Samko  B.G. Vakulov
Affiliation:a Centro CEMAT, IST, Portugal
b Universidade do Algarve, Faro 8000, Portugal
c Rostov State University, Russia
Abstract:For the Riesz potential operator Iα there are proved weighted estimates
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Keywords:Sobolev theorem   Hardy inequality   Lebesgue spaces with variable exponents   Riesz potentials   Spherical potentials   Zygmund-Bari-Stechkin conditions
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