Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590536 | Journal of Functional Analysis | 2014 | 26 Pages |
Abstract
In this article, we consider the mapping properties of convolution operators with smooth functions on weighted Hardy spaces Hp(w)Hp(w) with w belonging to Muckenhoupt class A∞A∞. As a corollary, one obtains decay estimates of heat semigroup on weighted Hardy spaces. After a weighted version of the div–curl lemma is established, these estimates on weighted Hardy spaces are applied to the investigation of the decay property of global mild solutions to Navier–Stokes equations with the initial data belonging to weighted Hardy spaces.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yohei Tsutsui,