Regularity estimates for Green operators of Dirichlet and Neumann problems on weighted Hardy spaces
نویسندگان
چکیده
In this paper we first study the generalized weighted Hardy spaces $H^{p}_{L,w}(X)$ for $0 < p \le 1$ associated to nonnegative self-adjoint operators $L$ satisfying Gaussian upper bounds on space of homogeneous type $X$ in both cases finite and infinite measure. We show that defined via maximal functions atomic decompositions coincide. Then prove regularity estimates Green inhomogeneous Dirichlet Neumann problems suitable bounded or unbounded domains including semiconvex domains, convex regions above a Lipschitz graph half-spaces. Our are terms $L^{p}$ range $1 <\infty$ new 1$. under weak smoothness assumptions boundaries new, especially full case domains.
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ژورنال
عنوان ژورنال: Journal of The Mathematical Society of Japan
سال: 2021
ISSN: ['1881-1167', '0025-5645']
DOI: https://doi.org/10.2969/jmsj/83938393