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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| Authors: | Tü nde Jakab,Marius Mitrea |
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| Affiliation: | a Department of Mathematics, University of Virginia, Kerchof Hall, Charlottesville, VA 22904, USA
b Department of Mathematics, University of Missouri-Columbia, Mathematical Sciences Building, Columbia, MO 65211, USA |
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| Abstract: | 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. |
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| Keywords: | 42B30 46A16 46E35 42B20 35J25 |
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