Duality and distance formulas in spaces defined by means of oscillation

Perfekt, K.-M. (2013) Duality and distance formulas in spaces defined by means of oscillation. Arkiv för Matematik, 51 (2). pp. 345-361. ISSN 1871-2487 doi: 10.1007/s11512-012-0175-7

Abstract/Summary

For the classical space of functions with bounded mean oscillation, it is well known that VMO∗∗=BMOVMO∗∗=BMO and there are many characterizations of the distance from a function f in BMOBMO to VMOVMO. When considering the Bloch space, results in the same vein are available with respect to the little Bloch space. In this paper such duality results and distance formulas are obtained by pure functional analysis. Applications include general Möbius invariant spaces such as QK-spaces, weighted spaces, Lipschitz–Hölder spaces and rectangular BMOBMO of several variables.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/71513
Identification Number/DOI	10.1007/s11512-012-0175-7
Refereed	Yes
Divisions	No Reading authors. Back catalogue items
Publisher	Royal Swedish Academy of Sciences
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