Year: 2015
Analysis in Theory and Applications, Vol. 31 (2015), Iss. 2 : pp. 138–153
Abstract
Let L=−∆+V be a Schrödinger operator acting on L2(Rn), n≥1, where V≢0 is a nonnegative locally integrable function on Rn. In this article, we will introduce weighted Hardy spaces HpL(w) associated with L by means of the square function and then study their atomic decomposition theory. We will also show that the Riesz transform ∇L−1/2 associated with L is bounded from our new space HpL(w) to the classical weighted Hardy space Hp(w) when n/(n+1)<p<1 and w∈A1∩RH(2/p)′.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2015.v31.n2.4
Analysis in Theory and Applications, Vol. 31 (2015), Iss. 2 : pp. 138–153
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Weighted Hardy space Riesz transform Schrödinger operator atomic decomposition Ap weight.
-
The Boundedness of Some Integral Operators on Weighted Hardy Spaces Associated with Schrödinger Operators
Wang, Hua
Journal of Function Spaces, Vol. 2015 (2015), Iss. P.1
https://doi.org/10.1155/2015/823862 [Citations: 0]