Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO
Författare
Summary, in English
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) ).
Avdelning/ar
Publiceringsår
2012
Språk
Engelska
Sidor
1-27
Publikation/Tidskrift/Serie
Journal d'Analyse Mathematique
Volym
117
Issue
1
Dokumenttyp
Artikel i tidskrift
Förlag
Magnes Press
Ämne
- Mathematics
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1565-8538