Fractional Carleson measure associated with Hermite operator

Let L = - Δ + | x | 2 be the Hermite operator, where Δ is the Laplacian on R d . In this paper, we define fractional 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...

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Veröffentlicht in:	Analysis and mathematical physics 2019-12, Vol.9 (4), p.2075-2097
Hauptverfasser:	Huang, Jizheng, Duan, Mingshuang, Wang, Yaqiong, Li, Weiwei
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Mathematical Methods in Physics Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Let L = - Δ + \| x \| 2 be the Hermite operator, where Δ is the Laplacian on R d . In this paper, we define fractional 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 ( R d ) associated with L .
ISSN:	1664-2368 1664-235X
DOI:	10.1007/s13324-019-00300-2