Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO
(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:
https://lup.lub.lu.se/record/3001774
- author
- Pott, Sandra LU and Sehba, Benoit
- organization
- publishing date
- 2012
- 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
- 2022-01-26 06:24:18
@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}}, }