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- W3120679931 abstract "We study the Littlewood–Paley–Stein functions associated with Hodge-de Rham and Schrödinger operators on Riemannian manifolds. Under conditions on the Ricci curvature, we prove their boundedness on $$L^p$$ for p in some interval $$(p_1,2]$$ and make a link to the Riesz Transform. An important fact is that we do not make assumptions of doubling measure or estimates on the heat kernel in this case. For $$p > 2$$ , we give a criterion to obtain the boundedness of the vertical Littlewood–Paley–Stein function associated with Schrödinger operators on $$L^p$$ ." @default.
- W3120679931 created "2021-01-18" @default.
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- W3120679931 date "2021-01-01" @default.
- W3120679931 modified "2023-09-26" @default.
- W3120679931 title "Littlewood–Paley–Stein Functions for Hodge-de Rham and Schrödinger Operators" @default.
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- W3120679931 doi "https://doi.org/10.1007/s12220-020-00569-x" @default.
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