Criterion for the existence of a continuous embedding of a weighted Sobolev class on a closed interval and on a semiaxis |
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Authors: | A A Vasil’eva |
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Institution: | 1. Department of Mechanics and Mathematics, Moscow State University, Moscow, 119991, Russia
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Abstract: | A criterion for the existence of a continuous embedding of a weighted Sobolev class in a weighted L
p
space is obtained, i.e., the existence of an index n for which the Kolmogorov n-diameter is finite. For the case in which a continuous embedding exists, the reduced Sobolev class is constructed together
with a continuous operator of a natural embedding of the class in a weighted L
p
-space. |
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Keywords: | |
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