Intrinsic Descriptions Using Means of Differences for Besov Spaces on Lipschitz Domains

Sophie Dispa ()
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Sophie Dispa: University of Liège, Institut de Mathématique

A chapter in Function Spaces, Differential Operators and Nonlinear Analysis, 2003, pp 279-287 from Springer

Abstract: Abstract The aim of this paper is to study the equivalence between quasi-norms of Besov spaces on bounded Lipschitz open subsets in ℞ n . We define Besov spaces on Ω as the restrictions of the corresponding Besov spaces on ℞ n . Then we extend the well-known characterization of Besov spaces on lir described in Theorem 2.4 to the case of Lipschitz domains. So, we obtain an equivalent and intrinsic quasi-norm using generalized differences and moduli of smoothness.

Keywords: Maximal Function; Besov Space; Lipschitz Domain; Generalize Difference; Continuous Embedding (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-8035-0_17

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DOI: 10.1007/978-3-0348-8035-0_17

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