31 citations · 221 across the 34 of their papers we have counts for
15 papers · 1 filter
Schatten--Lorentz properties of commutators with matrix weights
Tuomas Hytönen, Xingyan Quan
We study the membership of commutators of Calderón--Zygmund operators in the Schatten--Lorentz classes in the matrix-weighted setting. Working on a space of homogeneous typ…
Exotic Calderón-Zygmund operators
Tuomas Hytönen, Kangwei Li, Henri Martikainen +1
We study singular integral operators with kernels that are more singular than standard Calderón-Zygmund kernels, but less singular than bi-parameter product Calderón-Zygmund kernel…
Off-diagonal sharp two-weight estimates for sparse operators
Stephan Fackler, Tuomas P. Hytönen
For a class of sparse operators including majorants of singular integral, square function, and fractional integral operators in a uniform manner, we prove off-diagonal two-weight e…
The Holmes--Wick theorem on two-weight bounds for higher order commutators revisited
Tuomas P. Hytönen
A sufficient condition for the two-weight boundedness of higher order commutators was recently obtained by Holmes and Wick in terms of an intersection of two BMO spaces. We provide…
Addendum to : Orthonormal bases of regular wavelets in spaces of homogeneous type
Pascal Auscher, Tuomas Hytönen
We bring a precision to our cited work concerning the notion of "Borel measures", as the choice among different existing definitions impacts on the validity of the results.
The two-weight inequality for the Hilbert transform with general measures
Tuomas P. Hytönen
The two-weight inequality for the Hilbert transform is characterized for an arbitrary pair of positive Radon measures and on . In particular, the possibility of…