Proceedings of the American Mathematical Society

Author(s): Lorenzo D'Ambrosio
Journal: Proc. Amer. Math. Soc. 132 (2004), 725-734.
MSC (2000): Primary 35H10, 26D10, 46E35
Posted: October 9, 2003
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Abstract: We prove some Hardy type inequalities related to the Grushin type operator $\Delta_x+\vert x\vert^{2\gamma}\Delta_y$ .

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 35H10, 26D10, 46E35

Lorenzo D'Ambrosio
Affiliation: SISSA-ISAS, v. Beirut, 2-4 -- 34014, Trieste, Italy - Dipartimento di Matematica, via Orabona, 4 -- I-70125, Bari, Italy
Email: dambros@dm.uniba.it

DOI: 10.1090/S0002-9939-03-07232-0
PII: S 0002-9939(03)07232-0
Keywords: Hardy inequality, Grushin operator
Received by editor(s): October 18, 2002
Posted: 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 of article: Copyright 2003, American Mathematical Society

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