An integral representation and embedding theorems in the plane for multianisotropic spaces
- 22 Downloads
The present paper is a continuation of the author’s paper , where by means of a special integral representation of functions we prove embedding theorems for multianisotropic functional spaces. In contrast to , here we consider the case where the corresponding completely regular polyhedron has many anisotropy vertices.
KeywordsEmbedding theorem multianisotropic space completely regular polyhedron integral representation
Unable to display preview. Download preview PDF.
- 3.S. M. Nikol’skii, “On a problem of S. L. Sobolev”, Sib. Mat. J., 3 (6), 845–857, 1962.Google Scholar
- 4.K. T. Smith, “Inequalities for formally positive integro-differential forms”, Bull. Amer. Math., 368–370, 1961.Google Scholar
- 6.O. V. Besov, “On coercivity in nonisotropic Sobolev spaces”, Mat. sb., 73(115) (4), 585–599, 1967.Google Scholar