A fractional Hardy-Sobolev-Maz’ya inequality on the upper halfspace
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Abstract:
We prove two Sobolev-type inequalities, which are then used to establish a fractional Hardy-Sobolev-Maz’ya inequality on the upper halfspace.References
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Additional Information
- Craig A. Sloane
- Affiliation: Department of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332-0160
- Email: csloane@math.gatech.edu
- Received by editor(s): May 6, 2010
- Received by editor(s) in revised form: September 28, 2010
- Published electronically: March 21, 2011
- Additional Notes: This work was partially supported by NSF grant DMS 0901304.
- Communicated by: Michael T. Lacey
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 4003-4016
- MSC (2010): Primary 26D10; Secondary 46E35
- DOI: https://doi.org/10.1090/S0002-9939-2011-10818-9
- MathSciNet review: 2823046