Published July 1992 | public
Journal Article

Best constants in some operator smoothness estimates

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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.

Additional Information

© 1992 Elsevier Inc. Received 25 March 1991. Communicated by L. Gross. I thank M. Ben-Artzi for a useful conversation.

Additional details

Created:
August 20, 2023
Modified:
October 17, 2023