Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 10, Number 4 (2016), 727-749.
Poisson semigroup, area function, and the characterization of Hardy space associated to degenerate Schrödinger operators
be the degenerate Schrödinger operator, where is a weight from the Muckenhoupt class and is a nonnegative potential that belongs to a certain reverse Hölder class with respect to the measure . Based on some smoothness estimates of the Poisson semigroup , we introduce the area function associated with to characterize the Hardy space associated with .
Banach J. Math. Anal., Volume 10, Number 4 (2016), 727-749.
Received: 6 November 2015
Accepted: 6 January 2016
First available in Project Euclid: 31 August 2016
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Huang, Jizheng; Li, Pengtao; Liu, Yu. Poisson semigroup, area function, and the characterization of Hardy space associated to degenerate Schrödinger operators. Banach J. Math. Anal. 10 (2016), no. 4, 727--749. doi:10.1215/17358787-3649986. https://projecteuclid.org/euclid.bjma/1472657854