Traces of functions in Hardy and Besov spaces on Lipschitz domains with applications to compensated compactness and the theory of Hardy and Bergman type spaces
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- 作者：Tü ; nde Jakab ; Irina Mitrea ; Marius Mitrea
- 关键词：Lipschitz domains ; Hardy spaces ; Besov spaces ; Traces ; Compensated compactness ; Differential forms ; Envelopes ; Bergman spaces
- 刊名：Journal of Functional Analysis
- 出版年：2007
- 出版时间：1 May 2007
- 年：2007
- 卷：246
- 期：1
- 页码：50-112
- 全文大小：517 K
文摘
In this paper we study conditions guaranteeing that functions defined on a Lipschitz domain Ω have boundary traces in Hardy and Besov spaces on ∂Ω. In turn these results are used to develop a new approach to the theory of compensated compactness and the theory of non-locally convex Hardy and Bergman type spaces.