Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665322 | Advances in Mathematics | 2016 | 22 Pages |
Abstract
Let L be a nonnegative, self-adjoint operator satisfying Gaussian estimates on L2(Rn)L2(Rn). In this article we give an atomic decomposition for the Hardy spaces HL,maxp(Rn) in terms of the nontangential maximal functions associated with the heat semigroup of L, and this leads eventually to characterizations of Hardy spaces associated to L, via atomic decomposition or the nontangential maximal functions. The proof is based on a modification of a technique due to A. Calderón [6].
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Liang Song, Lixin Yan,