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- W2952581186 abstract "In this article, we show that in a $Q$-doubling space $(X,d,mu),$ $Q>1,$ which satisfies a chain condition, if we have a $Q$-Poincar'e inequality for a pair of functions $(u,g)$ where $gin L^Q(X),$ then $u$ has Lebesgue points $H^h$-a.e. for $h(t)=log^{1-Q-epsilon}(1/t).$ We also discuss how the existence of Lebesgue points follows for $uin W^{1,Q}(X)$ where $(X,d,mu)$ is a complete $Q$-doubling space supporting a $Q$-Poincar'e inequality for $Q>1.$" @default.
- W2952581186 created "2019-06-27" @default.
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- W2952581186 date "2014-08-25" @default.
- W2952581186 modified "2023-09-27" @default.
- W2952581186 title "Lebesgue points via the Poincar'e inequality" @default.
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