Spaces of Functions with Bounded and Vanishing Mean Oscillation

David Opěla ()
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David Opěla: Washington University in Saint Louis, Department of Mathematics

A chapter in Function Spaces, Differential Operators and Nonlinear Analysis, 2003, pp 403-413 from Springer

Abstract: Abstract We study generalized Campanato spaces and its vanishing subspaces. Our main interest is the connection between the geometry of the domain and the relation of the Campanato spaces to convenient HÖlder spaces. We define the vanishing subspace, an analogue of VMO, and study its properties. In particular, we characterize compact subsets of VMO.

Keywords: Compact Subset; Bounded Domain; Morrey Space; General Modulus; Banach Function Space (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_29

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DOI: 10.1007/978-3-0348-8035-0_29

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