Embedding Theorems for General Multianisotropic Spaces

G. A. Karapetyan ; M. K. Arakelyan

Matematičeskie zametki, Tome 104 (2018) no. 3, pp. 422-438.

Résumé

An integral representation and embedding theorems for functions in multianisotropic Sobolev spaces are proved. Unlike in previous works, the general case where the characteristic Newton polyhedron in $\mathbb{R}^n$ has an arbitrary number of vertices is considered.

Détail

Keywords: embedding theorems, multianisotropic space, completely regular polyhedron, integral representation.

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