Sobolev Regularity of Maximal Operators on Infinite Connected Graphs
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DOI: 10.1007/s00009-021-01759-9
Abstract: Let G be an infinite connected graph. We study the Sobolev regularity for the Hardy–Littlewood maximal operator and its fractional variants on G. Under certain geometric conditions on G, the endpoint Sobolev regularity properties for… read more here.
Keywords: infinite connected; maximal operators; sobolev regularity; regularity ... See more keywords
Sobolev regularity of solutions of the cohomological equation
Sign Up to like & getrecommendations! Published in 2021 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2019.108
Abstract: In this survey we prove the sharpest results on the loss of Sobolev regularity for solutions of the cohomological equation for translation flows on translation surfaces, available to the methods developed by the author in… read more here.
Keywords: cohomological equation; regularity solutions; solutions cohomological; sobolev regularity ... See more keywords