57 citations · 60 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
R-boundedness of smooth operator-valued functions
Mark Veraar, Tuomas Hytonen
In this paper we study -boundedness of operator families $\mathcal{T}\subset \calL(X,Y)$, where and are Banach spaces. Under cotype and type assumptions on and w…
Conical square function estimates in UMD Banach spaces and applications to H-infinity functional calculi
Tuomas Hytonen, Jan van Neerven, Pierre Portal
We study conical square function estimates for Banach-valued functions, and introduce a vector-valued analogue of the Coifman-Meyer-Stein tent spaces. Following recent work of Ausc…