@Article{JPDE-14-1,
author = {},
title = {Local Hardy Spaces and Inhomogeneous Dirichlet Problems in Exterior Regular Domains},
journal = {Journal of Partial Differential Equations},
year = {2001},
volume = {14},
number = {1},
pages = {1--11},
abstract = { In this paper, firstly we give an atomic decomposition of the local Hardy spaces h^p_r(Ω)(O < p ≤ 1) and their dual spaces. where the domain Ω is exterior regular in R^n(n ≥ 3). Then for given data f ∈ h^p_r(Ω), we discuss the inhomogeneous Dirichlet problems: {Lu = f \quad in Ω u = 0 \qquad on ∂ Ω where the operator L is uniformly elliptic. Also we obtain the estimation of Green potential in the local Hardy spaces h^p_r(Ω).},
issn = {2079-732X},
doi = {https://doi.org/2001-JPDE-5464},
url = {https://global-sci.com/article/88631/local-hardy-spaces-and-inhomogeneous-dirichlet-problems-in-exterior-regular-domains}
}