57 citations · 63 across the 7 of their papers we have counts for
9 papers
An operator-valued T(1) theorem for symmetric singular integrals in UMD spaces
Tuomas Hytönen
The natural BMO (bounded mean oscillation) conditions suggested by scalar-valued results are known to be insufficient for the boundedness of operator-valued paraproducts. According…
Weighted Estimates for Operator-Valued Fourier Multipliers
Stephan Fackler, Tuomas P. Hytönen, Nick Lindemulder
We establish Littlewood-Paley decompositions for Muckenhoupt weights in the setting of UMD spaces. As a consequence we obtain two-weight variants of the Mikhlin multiplier theorem…
Boundedness of Calderón-Zygmund Operators on Non-homogeneous Metric Measure Spaces
Tuomas Hytönen, Suile Liu, Dachun Yang +1
Let be a separable metric measure space satisfying the known upper doubling condition, the geometrical doubling condition and the non-atomic condition that $…
Holomorphic functional calculus of Hodge-Dirac operators in Lp
Tuomas Hytonen, Alan McIntosh, Pierre Portal
We study the boundedness of the functional calculus for differential operators acting in (L^{p}(\mathbb{R}^{n};\mathbb{C}^{N})). For constant coefficients, we give sim…
Wavelet expansions for weighted, vector-valued BMO functions
Tuomas Hytönen, Oscar Salinas, Beatriz Viviani
We introduce a scale of weighted Carleson norms, which depend on an integrability parameter p, where p=2 corresponds to the classical Carleson measure condition. Relations between…
The Banach space -valued BMO, Carleson's condition, and paraproducts
Tuomas Hytönen, Lutz Weis
We define a scale of L^q Carleson norms, all of which characterize the membership of a function in BMO. The phenomenon is analogous to the John-Nirenberg inequality, but on the lev…