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Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO

Pott, Sandra LU and Sehba, Benoit (2012) In Journal d'Analyse Mathematique 117(1). p.1-27
Abstract
We study boundedness properties of a class ofmultiparameter paraproducts on the dual space of the dyadic Hardy space H (d) (1) (T (N) ), the dyadic product BMO space BMO (d) (T (N) ). For this, we introduce a notion of logarithmic mean oscillation on the polydisc. We also obtain a result on the boundedness of iterated commutators on BMO [0, 1] (N) ).
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal d'Analyse Mathematique
volume
117
issue
1
pages
1 - 27
publisher
Magnes Press
external identifiers
  • wos:000305888100001
  • scopus:84863322009
ISSN
1565-8538
DOI
10.1007/s11854-012-0012-8
language
English
LU publication?
yes
id
a32c2715-dcf6-48d4-a36d-c14b4fe9c3ee (old id 3001774)
date added to LUP
2016-04-01 11:13:50
date last changed
2025-10-14 09:15:42
@article{a32c2715-dcf6-48d4-a36d-c14b4fe9c3ee,
  abstract     = {{We study boundedness properties of a class ofmultiparameter paraproducts on the dual space of the dyadic Hardy space H (d) (1) (T (N) ), the dyadic product BMO space BMO (d) (T (N) ). For this, we introduce a notion of logarithmic mean oscillation on the polydisc. We also obtain a result on the boundedness of iterated commutators on BMO [0, 1] (N) ).}},
  author       = {{Pott, Sandra and Sehba, Benoit}},
  issn         = {{1565-8538}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{1--27}},
  publisher    = {{Magnes Press}},
  series       = {{Journal d'Analyse Mathematique}},
  title        = {{Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO}},
  url          = {{http://dx.doi.org/10.1007/s11854-012-0012-8}},
  doi          = {{10.1007/s11854-012-0012-8}},
  volume       = {{117}},
  year         = {{2012}},
}