26 citations · 138 across the 26 of their papers we have counts for
5 papers · 1 filter
Regularity of maximal functions on Hardy-Sobolev spaces
Carlos Pérez, Tiago Picon, Olli Saari +1
We prove that maximal operators of convolution type associated to smooth kernels are bounded in the homogeneous Hardy-Sobolev spaces when $1/p < 1+1/d…
Non-local self-improving properties: A functional analytic approach
Pascal Auscher, Simon Bortz, Moritz Egert +1
A functional analytic approach to obtaining self-improving properties of solutions to linear non-local elliptic equations is presented. It yields conceptually simple and very short…
Non-local Gehring lemmas in spaces of homogeneous type and applications
Pascal Auscher, Simon Bortz, Moritz Egert +1
We prove a self-improving property for reverse H{ö}lder inequalities with non-local right hand side. We attempt to cover all the most important situations that one encounters when…
On regularity of weak solutions to linear parabolic systems with measurable coefficients
Pascal Auscher, Simon Bortz, Moritz Egert +1
We establish a new regularity property for weak solutions of parabolic systems with coefficients depending measurably on time as well as on all spatial variables. Namely, weak solu…
Lipschitz linearization of the maximal hyperbolic cross multiplier
Olli Saari, Christoph Thiele
We study the linearized maximal operator associated with dilates of the hyperbolic cross multiplier in dimension two. Assuming a Lipschitz condition and a lower bound on the linear…