Sobolev Embedding Theorem for the Sobolev-Morrey spaces

Show simple item record Burenkov, V.I. Kydyrmina, N.A. 2017-01-10T09:09:45Z 2017-01-10T09:09:45Z 2016-09-30
dc.identifier.issn 0142-0843
dc.description.abstract In this paper we prove a Sobolev Embedding Theorem for Sobolev-Morrey spaces. The proof is based on the Sobolev Integral Representation Theorem and on a recent results on Riesz potentials in generalized Morrey spaces of Burenkov, Gogatishvili, Guliyev, Mustafaev and on estimates on the Riesz potentials. We mention that a Sobolev Embedding Theorem for Sobolev morrey spaces had been proved by Campanato, for a subspace of our Sobolev-Morrey space which corresponds to the closure of the set of smooth functions in our Sobolev-Morrey space. The methods of the present paper are considerably different from those of Campanato. ru_RU
dc.language.iso other ru_RU
dc.publisher Вестник Карагандинского университета ru_RU
dc.relation.ispartofseries Математика;
dc.subject Morrey space ru_RU
dc.subject Sobolev-Morrey space ru_RU
dc.subject Sobolev Embedding Theorem ru_RU
dc.title Sobolev Embedding Theorem for the Sobolev-Morrey spaces ru_RU
dc.type Article ru_RU

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