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On Inequalities with Measures of Sobolev Type Embedding Theorems on Open Sets of the Real Axis
Authors:Prokhorov  D. V.  Stepanov  V. D.
Affiliation:(1) Computing Center of the Far East Division of the Russian Academy of Sciences, Khabarovsk
Abstract:We consider some Sobolev-type spaces and obtain a necessary and sufficient condition for their embedding in a Lebesgue space.
Keywords:Sobolev space  weighted Lebesgue space  embedding theorem
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