Citation
Dc. Chang et al., Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in R-N, T AM MATH S, 351(4), 1999, pp. 1605-1661
Citations number
18
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947
→ ACNP
Volume
351
Issue
4
Year of publication
1999
Pages
1605 - 1661
Database
ISI
SICI code
0002-9947(199904)351:4<1605:HSBABV>2.0.ZU;2-5
Abstract
We study two different local H-p spaces, 0 < p less than or equal to 1, on
a smooth domain in R-n, by means of maximal functions and atomic decomposit
ion. We prove the regularity in these spaces, as well as in the correspondi
ng dual BMO spaces, of the Dirichlet and Neumann problems for the Laplacian
.