A duality principle in weighted Sobolev spaces on the real line

An embedding inequality of Sobolev type is characterized in the paper with help of a duality principle and boundedness criteria for the Hardy-Steklov integral operator in weighted Lebesgue spaces. © 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

Authors
Eveson S.P. 1 , Stepanov V.D. 2, 3 , Ushakova E.P. 4
Journal
Mathematische Nachrichten
Publisher
Wiley-VCH Verlag
Issue number
8-9
Language
English
Pages
877-897
State
Published
Link
External link
DOI
10.1002/MANA.201400019
Volume
288
Year
2015
Organizations
  • 1 Department of Mathematics, University of York, Heslington, York, YO10 5DD, United Kingdom
  • 2 Department of Mathematical Analysis and Function Theory, Peoples Friendship University of Russia, Miklukho-Maklay 6, Moscow, 117198, Russian Federation
  • 3 Steklov Mathematical Institute, Russian Academy of Sciences, Gubkina 8, Moscow, 119991, Russian Federation
  • 4 Computing Center of Far Eastern Branch of Russian Academy of Sciences, Khabarovsk, 680000, Russian Federation
Keywords
Duality; Embeddings; Hardy-Steklov operator; Norm inequalities; Weighted Lebesgue spaces; Weighted Sobolev spaces
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