Published 2011
| Submitted
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Spherical reflection positivity and the Hardy-Littlewood-Sobolev inequality
Abstract
We introduce the concept of spherical (as distinguished from planar) reflection positivity and use it to obtain a new proof of the sharp constants in certain cases of the HLS and the logarithmic HLS inequality. Our proofs relies on an extension of a work by Li and Zhu which characterizes the minimizing functions of the type (1+|x|^2)^(−p).
Additional Information
© 2011 American Mathematical Society. Support through U.S. NSF grant PHY 0652854 is gratefully acknowledged.Attached Files
Submitted - 1003.5248.pdf
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Additional details
- Eprint ID
- 77080
- Resolver ID
- CaltechAUTHORS:20170501-070506766
- PHY-0652854
- NSF
- Created
-
2017-05-01Created from EPrint's datestamp field
- Updated
-
2023-06-02Created from EPrint's last_modified field
- Series Name
- Contemporary Mathematics
- Series Volume or Issue Number
- 545