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- W4315705096 abstract "Let G be a stratified group and let ΔG be a sub-Laplacian on G. In this paper, we consider the Schrödinger operator L=ΔG+V, where the potential V is a nonnegative polynomial. We first prove the upper bound of the higher order derivatives of the heat kernel of L. We then establish a theory of Hardy spaces HLp(G) associated to L for the full range p∈(0,1]. Particularly, we prove that for any p∈(0,1], the Hardy space HLp(G) introduced in terms of nontangential or radial maximal functions associated to the semigroup e−tL admits a new atomic decomposition. Moreover, we provide the description of the dual spaces of these new Hardy spaces in terms of certain local Campanato spaces related to the potential V. As a byproduct, we obtain the maximal function characterizations for the local Hardy spaces associated to an arbitrary critical function." @default.
- W4315705096 created "2023-01-12" @default.
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- W4315705096 date "2023-04-01" @default.
- W4315705096 modified "2023-10-16" @default.
- W4315705096 title "Heat kernels and theory of Hardy spaces associated to Schrödinger operators on stratified groups" @default.
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- W4315705096 doi "https://doi.org/10.1016/j.jde.2023.01.002" @default.
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