<p>The main goal of this paper is to introduce and study small small Sobolev-Morrey spaces with dominant mixed derivatives in view of embedding theory. Precisely, compactness of the embedding operator from small small Sobolev-Morrey spaces with dominant mixed derivatives to Lebesgue spaces is proved.</p>

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COMPACTNESS THEOREMS IN SMALL SMALL SOBOLEV-MORREY SPACE WITH DOMINANT MIXED DERIVATIVES

  • Alik Najafov,
  • Ahmet Eroglu

摘要

The main goal of this paper is to introduce and study small small Sobolev-Morrey spaces with dominant mixed derivatives in view of embedding theory. Precisely, compactness of the embedding operator from small small Sobolev-Morrey spaces with dominant mixed derivatives to Lebesgue spaces is proved.