Email this article Hardy–Steklov Operators and Duality Principle in Weighted Sobolev Spaces of the First Order
- Authors: Stepanov V.D.1, Ushakova E.P.2
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Affiliations:
- Steklov Mathematical Institute
- Computing Center, Far Eastern Branch
- Issue: Vol 97, No 3 (2018)
- Pages: 232-235
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225501
- DOI: https://doi.org/10.1134/S1064562418030092
- ID: 225501
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Abstract
Boundedness criteria for the Hardy–Steklov operator in Lebesgue spaces on the real axis are presented. As applications, two-sided estimates for the norms of spaces associated with weighted Sobolev spaces of the first order with various weight functions and summation parameters are established.
About the authors
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
Email: stepanov@mi.ras.ru
Russian Federation, Khabarovsk, 680000
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