Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Duality and distance formulas in spaces defined by means of oscillation

Perfekt, Karl-Mikael LU (2013) In Arkiv för Matematik 51(2). p.345-361
Abstract
For the classical space of functions with bounded mean oscillation, it is well known that and there are many characterizations of the distance from a function f in to . 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 Mobius invariant spaces such as Q (K) -spaces, weighted spaces, Lipschitz-Holder spaces and rectangular of several variables.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Arkiv för Matematik
volume
51
issue
2
pages
345 - 361
publisher
Springer
external identifiers
  • wos:000323247000008
  • scopus:84883798983
ISSN
0004-2080
DOI
10.1007/s11512-012-0175-7
language
English
LU publication?
yes
id
150597e6-2a04-4aa7-bf73-f3308a7c2e29 (old id 4027113)
date added to LUP
2016-04-01 13:52:03
date last changed
2022-02-19 07:51:59
@article{150597e6-2a04-4aa7-bf73-f3308a7c2e29,
  abstract     = {{For the classical space of functions with bounded mean oscillation, it is well known that and there are many characterizations of the distance from a function f in to . 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 Mobius invariant spaces such as Q (K) -spaces, weighted spaces, Lipschitz-Holder spaces and rectangular of several variables.}},
  author       = {{Perfekt, Karl-Mikael}},
  issn         = {{0004-2080}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{345--361}},
  publisher    = {{Springer}},
  series       = {{Arkiv för Matematik}},
  title        = {{Duality and distance formulas in spaces defined by means of oscillation}},
  url          = {{http://dx.doi.org/10.1007/s11512-012-0175-7}},
  doi          = {{10.1007/s11512-012-0175-7}},
  volume       = {{51}},
  year         = {{2013}},
}