Characterization of the function spaces associated with weighted Sobolev spaces of the first order on the real line

DOI10.1070/RM9873zbMath1455.46038OpenAlexW2998153526MaRDI QIDQ5112440

Vladimir D. Stepanov, Elena P. Ushakova, Dmitry Vladimirovich Prokhorov

Publication date: 29 May 2020

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9873

zbMATH Keywords

weighted Sobolev spacesfunction spacesduality principleassociated spacesHardy-Steklov integral operatorsOinarov-Otelbaev construction

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (5)

On a class of functionals on a weighted first-order Sobolev space on the real line ⋮ On the boundedness of the Hilbert transform from weighted Sobolev space to weighted Lebesgue space ⋮ On the dual spaces for weighted altered Cesàro and Copson spaces ⋮ On the associated spaces for the altered Cesaro space ⋮ On Cesàro and Copson type function spaces. Reflexivity

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