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- W2951386478 abstract "In this paper we define square functions (also called Littlewood-Paley-Stein functions) associated with heat semigroups for Schrodinger and Laguerre operators acting on functions which take values in UMD Banach spaces. We extend classical (scalar) L^p-boundedness properties for the square functions to our Banach valued setting by using gamma-radonifying operators. We also prove that these L^p-boundedness properties of the square functions actually characterize the Banach spaces having the UMD property." @default.
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- W2951386478 date "2012-09-20" @default.
- W2951386478 modified "2023-09-27" @default.
- W2951386478 title "UMD Banach spaces and square functions associated with heat semigroups for Schrodinger and Laguerre operators" @default.
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