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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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Trace Hardy–Sobolev inequalities in cones
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by A. I. Nazarov
Translated by: the author
St. Petersburg Math. J. 22 (2011), 997-1006
DOI: https://doi.org/10.1090/S1061-0022-2011-01180-X
Published electronically: August 22, 2011

Abstract:

Sharp constants are found for the trace Hardy–Sobolev inequalities in cones. The question as to whether these constants are attained is discussed.
References
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Bibliographic Information
  • A. I. Nazarov
  • Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskaya Ul. 28, Stary Petergof, St. Petersburg 198504, Russia
  • MR Author ID: 228194
  • Email: al.il.nazarov@gmail.com
  • Received by editor(s): January 18, 2010
  • Published electronically: August 22, 2011
  • Additional Notes: Partially supported by RFBR (grant no. 08-01-00748) and by the grant NSh.4210.2010.1.

  • Dedicated: Dedicated to V. M. Babich on the occasion of his 80th birthday
  • © Copyright 2011 American Mathematical Society
  • Journal: St. Petersburg Math. J. 22 (2011), 997-1006
  • MSC (2010): Primary 46E35
  • DOI: https://doi.org/10.1090/S1061-0022-2011-01180-X
  • MathSciNet review: 2760091