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arXiv · 1505.04042

Beyond local maximal operators

Hannes Luiro·Antti V. Vähäkangas
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Abstract

We obtain (essentially sharp) boundedness results for certain generalized local maximal operators between fractional weighted Sobolev spaces and their modifications. Concrete boundedness results between well known fractional Sobolev spaces are derived as consequences of our main result. We also apply our boundedness results by studying both generalized neighbourhood capacities and the Lebesgue differentiation of fractional weighted Sobolev functions.

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BibTeXRIS

Hannes Luiro, Antti V. Vähäkangas. 2015-05-15. Beyond local maximal operators. https://arxiv.org/abs/1505.04042

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