31 citations · 221 across the 34 of their papers we have counts for
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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…
Rough spectral asymptotics for commutators of general singular integrals
Tuomas Hytönen
Recently, Schatten class membership of commutators arising from Connes' quantised calculus has been characterised in a general framework, which covers multiple concrete situations…
-invariance of oscillatory norms, and Schatten characterisations of commutators
Tuomas Hytönen
Schatten class properties of commutators of pointwise multipliers and singular integral operators have been characterised in a variety of settings. An abstract fram…
Real-variable theory of function spaces with operator-valued weights in Banach spaces
Tuomas P. Hytönen, Yinqin Li, Dachun Yang +1
While the theory of matrix-weighted function spaces is well established, the majority of previous results in the infinite-dimensional operator-valued setting deal with "no go" theo…
Real-variable theory of matrix-weighted multi-parameter Besov--Triebel--Lizorkin-type spaces
Fan Bu, Yiqun Chen, Tuomas Hytönen +2
We develop a comprehensive theory for a general class of multi-parameter function spaces of Besov-Triebel-Lizorkin type, with a matrix weight. We prove the equivalence of different…