Maximal function estimates and self-improvement results for Poincaré inequalities
manuscripta mathematica(2018)
摘要
Our main result is an estimate for a sharp maximal function, which implies a Keith–Zhong type self-improvement property of Poincaré inequalities related to differentiable structures on metric measure spaces. As an application, we give structure independent representation for Sobolev norms and universality results for Sobolev spaces.
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关键词
42B25,35A23,46E35,31E05,30L99
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