Generalized Ponce’s inequality

Author:

Muñoz JulioORCID

Abstract

AbstractWe provide a generalization of a remarkable inequality by A. C. Ponce whose consequences are essential in several fields, such as a characterization of Sobolev spaces or nonlocal modelization.

Funder

Ministerio de Economía, Industria y Competitividad, Gobierno de España

Junta de Comunidades de Castilla-La Mancha

Universidad de Castilla-La Mancha

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference11 articles.

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4. Bourgain, J., Brezis, H., Mironescu, P.: Another look at Sobolev spaces. In: Menaldi, J.L., Rofman, E., Sulem, A. (eds.) Optimal Control and Partial Differential Equations, pp. 439–455. IOS Press, Amsterdam (2001) (Volume in honor of A. Bensoussan’s 60th birthday)

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