Simon, Barry (1992) Best constants in some operator smoothness estimates. Journal of Functional Analysis, 107 (1). pp. 66-71. ISSN 0022-1236. doi:10.1016/0022-1236(92)90100-W. https://resolver.caltech.edu/CaltechAUTHORS:20170905-100002232
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Abstract
We provide a short proof of the inequality (cf. Ben-Artzi and Klainerman [Regularity and decay of evolution equations, preprint] and Kato and Yajima [Rev. Math. Phys. 1 (1989), 481–496]) ∝−∞^∞∥(1 + x^2)^(−12)(1 − Δ)^(14)e^(itΔ)u∥^2dt ⩽ C ∥u∥^2 with explicit (essentially exact) values for C.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1992 Elsevier Inc. Received 25 March 1991. Communicated by L. Gross. I thank M. Ben-Artzi for a useful conversation. | |||||||||
| Issue or Number: | 1 | |||||||||
| DOI: | 10.1016/0022-1236(92)90100-W | |||||||||
| Record Number: | CaltechAUTHORS:20170905-100002232 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170905-100002232 | |||||||||
| Official Citation: | Barry Simon, Best constants in some operator smoothness estimates, Journal of Functional Analysis, Volume 107, Issue 1, 1992, Pages 66-71, ISSN 0022-1236, http://dx.doi.org/10.1016/0022-1236(92)90100-W. (http://www.sciencedirect.com/science/article/pii/002212369290100W) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 81129 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 05 Sep 2017 18:46 | |||||||||
| Last Modified: | 15 Nov 2021 19:41 |
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