Add to ORKGAbstract. In this paper we define square functions (also called Littlewood-Paley-Stein func-tions) associated with heat semigroups for Schrödinger and Laguerre operators acting on func-tions which take values in UMD Banach spaces. We extend classical (scalar) Lp-boundedness properties for the square functions to our Banach valued setting by using γ-radonifying op-erators. We also prove that these Lp-boundedness properties of the square functions actually characterize the Banach spaces having the UMD property. 1
International audienceWe consider self-adjoint semigroups $T_t = exp(−tA)$ acting on $L^2(\Omega)$ a...
We prove various extensions of the Coifman-Rubio de Francia-Semmes multiplier theorem to operator-va...
17 pagesInternational audienceWe prove a Hardy-Stein type identity for the semigroups of symmetric, ...
In this paper we define square functions (also called Littlewood-Paley-Stein functions) associated w...
Abstract In this paper we consider conical square functions in the Bessel, Laguerre and Schrödinger ...
Abstract. In this paper we study Littlewood-Paley-Stein functions associated with the Pois-son semig...
Abstract. We consider Banach valued Hardy and BMO spaces in the Bessel setting. Square functions ass...
Abstract. In this paper we consider square functions (also called Littlewood-Paley g-functions) asso...
Abstract. In this paper we characterize the Banach spaces with the UMD property by means of Lp-bound...
Abstract. We study conical square function estimates for Banach-valued functions and introduce a vec...
Abstract. We study conical square function estimates for Banach-valued functions, and introduce a ve...
Abstract. In this paper we prove that the maximal Lp-regularity property on the interval (0, T), T&g...
In this paper the notion of an abstract square function (estimate) is introduced as an operator X to...
We study conical square function estimates for Banach-valued functions and introduce a vector-valued...
International audienceWe consider self-adjoint semigroups $T_t = exp(−tA)$ acting on $L^2(\Omega)$ a...
International audienceWe consider self-adjoint semigroups $T_t = exp(−tA)$ acting on $L^2(\Omega)$ a...
We prove various extensions of the Coifman-Rubio de Francia-Semmes multiplier theorem to operator-va...
17 pagesInternational audienceWe prove a Hardy-Stein type identity for the semigroups of symmetric, ...
In this paper we define square functions (also called Littlewood-Paley-Stein functions) associated w...
Abstract In this paper we consider conical square functions in the Bessel, Laguerre and Schrödinger ...
Abstract. In this paper we study Littlewood-Paley-Stein functions associated with the Pois-son semig...
Abstract. We consider Banach valued Hardy and BMO spaces in the Bessel setting. Square functions ass...
Abstract. In this paper we consider square functions (also called Littlewood-Paley g-functions) asso...
Abstract. In this paper we characterize the Banach spaces with the UMD property by means of Lp-bound...
Abstract. We study conical square function estimates for Banach-valued functions and introduce a vec...
Abstract. We study conical square function estimates for Banach-valued functions, and introduce a ve...
Abstract. In this paper we prove that the maximal Lp-regularity property on the interval (0, T), T&g...
In this paper the notion of an abstract square function (estimate) is introduced as an operator X to...
We study conical square function estimates for Banach-valued functions and introduce a vector-valued...
International audienceWe consider self-adjoint semigroups $T_t = exp(−tA)$ acting on $L^2(\Omega)$ a...
International audienceWe consider self-adjoint semigroups $T_t = exp(−tA)$ acting on $L^2(\Omega)$ a...
We prove various extensions of the Coifman-Rubio de Francia-Semmes multiplier theorem to operator-va...
17 pagesInternational audienceWe prove a Hardy-Stein type identity for the semigroups of symmetric, ...