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- W2005164237 abstract "We study the self-improving properties of general ized Φ-Poincare inequalities in connected metric spaces equipped with a doubling measure. As a consequence we obtain results concerning integrability, continuity and differentiability of Orlicz-Sobolev functions on spaces supporting a Φ-Poincare inequality. Our results are optimal and generalize some of the results of Cianchi [4,5], Hajlasz and Koskela [9, 10], MacManus and Perez [19], Balogh, Rogovin and Zurcher [2] and Stein [22]." @default.
- W2005164237 created "2016-06-24" @default.
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- W2005164237 date "2010-01-01" @default.
- W2005164237 modified "2023-09-23" @default.
- W2005164237 title "Sharp self-improving properties of generalized Orlicz-Poincaré inequalities in connected metric measure spaces" @default.
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- W2005164237 doi "https://doi.org/10.1512/iumj.2010.59.3984" @default.
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