Exponential self-improvement of generalized Poincaré inequalities associated with approximations of the identity and semigroups

Jiménez-del-Toro, Ana

doi:10.1090/S0002-9947-2011-05344-4

Exponential self-improvement of generalized Poincaré inequalities associated with approximations of the identity and semigroups
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Trans. Amer. Math. Soc. 364 (2012), 637-660 Request permission

Abstract:

The purpose of this paper is to present a general method that allows us to study exponential self-improving properties of generalized Poincaré inequalities associated with an approximation of the identity or a semigroup. In particular, we show the connection between our results and the John-Nirenberg theorem for the space $BMO$ associated with approximations of the identity and semigroups.

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