A weighted $L_p$-theory for second-order elliptic and parabolic partial differential systems on a half space

Kyeong-Hun Kim; Kijung Lee

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arXiv · 1204.2325

A weighted $L_p$-theory for second-order elliptic and parabolic partial differential systems on a half space

Kyeong-Hun Kim·Kijung Lee

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Abstract

In this paper we develop a Fefferman-Stein theorem, a Hardy-Littlewood theorem and sharp function estimations in weighted Sobolev spaces. We also provide uniqueness and existence results for second-order elliptic and parabolic partial differential systems in weighed Sobolev spaces.

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Kyeong-Hun Kim, Kijung Lee. 2012-04-11. A weighted $L_p$-theory for second-order elliptic and parabolic partial differential systems on a half space. https://arxiv.org/abs/1204.2325

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