• Corpus ID: 238634256

Interpolation spaces of generalized smoothness and their applications to elliptic equations

  title={Interpolation spaces of generalized smoothness and their applications to elliptic equations},
  author={Anna V. Anop and Aleksandr Murach},
We introduce and investigate classes of normed or quasinormed distribution spaces of generalized smoothness that can be obtained by various interpolation methods applied to classical Sobolev, Nikolskii –Besov, and Triebel – Lizorkin spaces. An arbitrary positive function O-regularly varying at infinity serves as the order of regularity for the spaces introduced. They are broad generalizations of the above classical spaces and allow being well defined on smooth manifolds. We give applications of… 


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