Maximal function estimates and self-improvement results for Poincaré inequalities
Kinnunen, J., Lehrbäck, J., Vähäkangas, A., & Zhong, X. (2019). Maximal function estimates and self-improvement results for Poincaré inequalities. Manuscripta Mathematica, 158(1-2), 119-147. https://doi.org/10.1007/s00229-018-1016-1
Published inManuscripta Mathematica
© Springer-Verlag GmbH Germany, part of Springer Nature 2018
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.
PublisherSpringer Berlin Heidelberg
ISSN Search the Publication Forum0025-2611
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