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WEIGHTED EFFECTS OF SOME INTEGRAL OPERATORS AND THEIR APPLICATIONS

    https://doi.org/10.1142/9789812794253_0004Cited by:0 (Source: Crossref)
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    Abstract:

    Our goal is to obtain weighted imbedding theorems for the Sobolev spaces , where or . With this goal we study the behavior in weighted Lp–spaces of the anisotropic singular integral operators arising when the integral representations of Il'in and Besov are used (see 1, §7.2).