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Integral representations of functions and embedding theorems for multianisotropic spaces on the plane with one anisotropy vertex

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Abstract

In this paper we obtain appropriate integral representations for functions from Sobolev multianisotropic spaces, and apply them to obtain embedding theorems for these spaces.

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Correspondence to G. A. Karapetyan.

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Original Russian Text © G. A. Karapetyan, 2016, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2016, No. 6, pp. 24-43.

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Karapetyan, G.A. Integral representations of functions and embedding theorems for multianisotropic spaces on the plane with one anisotropy vertex. J. Contemp. Mathemat. Anal. 51, 269–281 (2016). https://doi.org/10.3103/S1068362316060017

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  • DOI: https://doi.org/10.3103/S1068362316060017

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