31 citations · 221 across the 34 of their papers we have counts for
36 papers
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…
Schatten properties of commutators of fractional integrals on spaces of homogeneous type
Tuomas Hytönen, Lin Wu
Extending classical results of Janson and Peetre (1988) on the Schatten class membership of commutators of Riesz potentials on the Euclidean space, we obtain analogous result…
Characterisations of Sobolev spaces and constant functions over metric spaces
Tuomas Hytönen, Riikka Korte
In a doubling metric measure space supporting a Poincaré inequality, we give a new characterisation of first-order Sobolev spaces by mean oscillations, and extend previou…