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.
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Opěla, D. (2003). Spaces of Functions with Bounded and Vanishing Mean Oscillation. In: Haroske, D., Runst, T., Schmeisser, HJ. (eds) Function Spaces, Differential Operators and Nonlinear Analysis. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8035-0_29
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DOI: https://doi.org/10.1007/978-3-0348-8035-0_29
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9414-2
Online ISBN: 978-3-0348-8035-0
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