Matches in SemOpenAlex for { <https://semopenalex.org/work/W2002034282> ?p ?o ?g. }
- W2002034282 abstract "Let $Omega$ be a strongly Lipschitz domain of $mathbb{R}^n$, whose complement in $mathbb{R}^n$ is unbounded. Let $L$ be a second order divergence form elliptic operator on $L^2 (Omega)$ with the Dirichlet boundary condition, and the heat semigroup generated by $L$ have the Gaussian property $(G_{mathrm{diam}(Omega)})$ with the regularity of their kernels measured by $muin(0,1]$, where $mathrm{diam}(Omega)$ denotes the diameter of $Omega$. Let $Phi$ be a continuous, strictly increasing, subadditive and positive function on $(0,infty)$ of upper type 1 and of strictly critical lower type $p_{Phi}in(n/(n+mu),1]$. In this paper, the authors introduce the Orlicz-Hardy space $H_{Phi,,r}(Omega)$ by restricting arbitrary elements of the Orlicz-Hardy space $H_{Phi}(mathbb{R}^n)$ to $boz$ and establish its atomic decomposition by means of the Lusin area function associated with ${e^{-tL}}_{tge0}$. Applying this, the authors obtain two equivalent characterizations of $H_{Phi,,r}(boz)$ in terms of the nontangential maximal function and the Lusin area function associated with the heat semigroup generated by $L$." @default.
- W2002034282 created "2016-06-24" @default.
- W2002034282 creator A5043811579 @default.
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- W2002034282 date "2011-07-16" @default.
- W2002034282 modified "2023-10-14" @default.
- W2002034282 title "Real-variable Characterizations of Orlicz-Hardy Spaces on Strongly Lipschitz Domains of $mathbb{R}^n$" @default.
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- W2002034282 doi "https://doi.org/10.48550/arxiv.1107.3267" @default.
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