Translator Disclaimer
October 2016 Poisson semigroup, area function, and the characterization of Hardy space associated to degenerate Schrödinger operators
Jizheng Huang, Pengtao Li, Yu Liu
Banach J. Math. Anal. 10(4): 727-749 (October 2016). DOI: 10.1215/17358787-3649986

Abstract

Let

Lf(x)=1ω(x)i,ji(aij()jf)(x)+V(x)f(x) be the degenerate Schrödinger operator, where ω is a weight from the Muckenhoupt class A2 and V is a nonnegative potential that belongs to a certain reverse Hölder class with respect to the measure ω(x)dx. Based on some smoothness estimates of the Poisson semigroup etL, we introduce the area function SPL associated with etL to characterize the Hardy space associated with L.

Citation

Download Citation

Jizheng Huang. Pengtao Li. Yu Liu. "Poisson semigroup, area function, and the characterization of Hardy space associated to degenerate Schrödinger operators." Banach J. Math. Anal. 10 (4) 727 - 749, October 2016. https://doi.org/10.1215/17358787-3649986

Information

Received: 6 November 2015; Accepted: 6 January 2016; Published: October 2016
First available in Project Euclid: 31 August 2016

zbMATH: 1347.42037
MathSciNet: MR3543909
Digital Object Identifier: 10.1215/17358787-3649986

Subjects:
Primary: 42B30
Secondary: 35J10, 42B25

Rights: Copyright © 2016 Tusi Mathematical Research Group

JOURNAL ARTICLE
23 PAGES


SHARE
Vol.10 • No. 4 • October 2016
Back to Top