A. M. Nadzhafov, “Embedding theorems in the Sobolev–Morrey type spaces <nobr>$S^l_{p,a,\varkappa,\tau}W(G)$</nobr> with dominant mixed derivatives”, Sibirsk. Mat. Zh., 2006, Volume 47, Number 3,Pages <nobr>613

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Embedding theorems in the Sobolev–Morrey type spaces $S^l_{p,a,\varkappa,\tau}W(G)$ with dominant mixed derivatives

A. M. Nadzhafov

Azerbaidzhan University of Construction and Architecture

Abstract: We construct Sobolev–Morrey type spaces with dominant mixed derivatives and, using the obtained integral representation, prove some embedding theorems in these spaces.

Keywords: Sobolev?Morrey type space with dominant mixed derivative, flexible horn, integral representation, embedding theorem, HЁolder condition.

UDC: 517.518

Received: 30.03.2005