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The measure of noncompactness of Sobolev embeddings

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Abstract

New formulae for the upperq-norm of the embedding mapI from Sobolev spaces into Lebesgue spaces and, in particular, compactness criteria forI are given. Necessary and sufficient conditions for an operator to be a Φ+ (i.e., semi-Fredholm) operator are proved as well.

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  1. Department of Mathematics, Khabarovsk Technical University, 680035, Khabarovsk, Russia

    Nina A. Yerzakova

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  1. Nina A. Yerzakova
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Yerzakova, N.A. The measure of noncompactness of Sobolev embeddings. Integr equ oper theory 19, 349–359 (1994). https://doi.org/10.1007/BF01203670

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