Spaces Associated with Weighted Sobolev Spaces on the Real Line


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Abstract

A complete description of spaces associated with weighted Sobolev spaces of the first order on the real line with identical summation parameters for a function and its derivative is presented.

About the authors

D. V. Prokhorov

Computing Center, Far Eastern Branch; Steklov Mathematical Institute

Email: stepanov@mi.ras.ru
Russian Federation, Khabarovsk, 680000; Moscow, 119991

V. D. Stepanov

Steklov Mathematical Institute

Author for correspondence.
Email: stepanov@mi.ras.ru
Russian Federation, Moscow, 119991

E. P. Ushakova

Computing Center, Far Eastern Branch; Steklov Mathematical Institute

Email: stepanov@mi.ras.ru
Russian Federation, Khabarovsk, 680000; Moscow, 119991

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