9 citations · 13 across the 6 of their papers we have counts for
5 papers · 1 filter
estimates for rough homogeneous singular integrals and sparse forms
Javier Canto, Kangwei Li, Luz Roncal +1
We consider Coifman--Fefferman inequalities for rough homogeneous singular integrals and weights. It was recently shown by Li-Pérez-Rivera-Ríos-Roncal that $$ \|T_Ω\|_{…
Uniform rectifiability and -approximability of harmonic functions in
Steve Hofmann, Olli Tapiola
Suppose that is a uniformly rectifiable set of codimension . We show that every harmonic function is -approximable in for ever…
Quantitative weighted estimates for rough homogeneous singular integrals
Tuomas P. Hytönen, L. Roncal, Olli Tapiola
We consider homogeneous singular kernels, whose angular part is bounded, but need not have any continuity. For the norm of the corresponding singular integral operators on the weig…
Adjacent dyadic systems and the -boundedness of shift operators in metric spaces revisited
Olli Tapiola
With the help of recent adjacent dyadic constructions by Hytönen and the author, we give an alternative proof of results of Lechner, Müller and Passenbrunner about the -bounde…
Weak A_\infty weights and weak Reverse Hölder property in a space of homogeneous type
Theresa C. Anderson, Tuomas Hytönen, Olli Tapiola
In the Euclidean setting, the Fujii-Wilson-type weights satisfy a Reverse Hölder Inequality (RHI) but in spaces of homogeneous type the best known result has been that $…