A new version of Carleson measure associated with Hermite operator. (English) Zbl 1498.35195
Summary: Let \(L=-\Delta+|x|^2\) be a Hermite operator, where \(\Delta\) is the Laplacian on \(\mathbb{R}^d\). In this paper we define a new version of Carleson measure associated with Hermite operator, which is adapted to the operator \(L\). Then, we will use it to characterize the dual spaces and predual spaces of the Hardy spaces \(H_L^p(\mathbb{R}^d)\) associated with \(L\).
MSC:
| 35J10 | Schrödinger operator, Schrödinger equation |
| 47F05 | General theory of partial differential operators |
| 30H10 | Hardy spaces |
| 46E30 | Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) |
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