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arXiv · 1707.02080

Non-local Gehring lemmas in spaces of homogeneous type and applications

Pascal Auscher·Simon Bortz·Moritz Egert·Olli Saari
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Abstract

We prove a self-improving property for reverse H{\"o}lder inequalities with non-local right hand side. We attempt to cover all the most important situations that one encounters when studying elliptic and parabolic partial differential equations as well as certain fractional equations. We also consider non-local extensions of A$\infty$ weights. We write our results in spaces of homogeneous type.

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Pascal Auscher, Simon Bortz, Moritz Egert, Olli Saari. 2017-07-07. Non-local Gehring lemmas in spaces of homogeneous type and applications. https://arxiv.org/abs/1707.02080

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