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Limiting Embedding Theorems for Multianisotropic Functional Spaces

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Abstract

The present paper is a continuation of the author’s previous papers devoted to the study of embedding theorems for functions belonging to Sobolev multianisotropic spaces. In the previous papers were considered the cases when the embedding index is less than one, while the present paper concerns the limiting case, that is, when the embedding index is equal to one.

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Correspondence to G. A. Karapetyan or M. A. Khachaturyan.

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Russian Text © G. A. Karapetyan, M. A. Khachaturyan, 2019, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2019, No. 2, pp. 54–64.

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Karapetyan, G.A., Khachaturyan, M.A. Limiting Embedding Theorems for Multianisotropic Functional Spaces. J. Contemp. Mathemat. Anal. 54, 103–111 (2019). https://doi.org/10.3103/S1068362319020079

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  • DOI: https://doi.org/10.3103/S1068362319020079

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