Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Hardy inequalities related to Grushin type operators
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by Lorenzo D’Ambrosio
Proc. Amer. Math. Soc. 132 (2004), 725-734
DOI: https://doi.org/10.1090/S0002-9939-03-07232-0
Published electronically: October 9, 2003

Abstract:

We prove some Hardy type inequalities related to the Grushin type operator $\Delta _x+|x|^{2\gamma }\Delta _y$.
References
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Bibliographic Information
  • Lorenzo D’Ambrosio
  • Affiliation: SISSA-ISAS, v. Beirut, 2-4 – 34014, Trieste, Italy; Dipartimento di Matematica, via Orabona, 4 – I-70125, Bari, Italy
  • MR Author ID: 688653
  • ORCID: 0000-0003-0677-056X
  • Email: dambros@dm.uniba.it
  • Received by editor(s): October 18, 2002
  • Published electronically: October 9, 2003
  • Additional Notes: This research was partially supported by M.U.R.S.T. Programma Nazionale “Metodi Variazionali ed Equazioni Differenziali Nonlineari”
  • Communicated by: David S. Tartakoff
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 725-734
  • MSC (2000): Primary 35H10, 26D10, 46E35
  • DOI: https://doi.org/10.1090/S0002-9939-03-07232-0
  • MathSciNet review: 2019949