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math.FA2009★ 1 cited
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…
math.FA2007★ 57 cited
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…