26 citations · 138 across the 26 of their papers we have counts for
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math.CA2017★ 11 cited
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…
math.CA2017
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…
math.CA2017★ 1 cited
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…