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A duality principle in weighted Sobolev spaces on the real line. (English) Zbl 1345.46028
Summary: An embedding inequality of Sobolev type is characterized in the paper with the help of a duality principle and boundedness criteria for the Hardy-Steklov integral operator in weighted Lebesgue spaces.

MSC:
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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