TY - JOUR
T1 - Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO
AU - Pott, Sandra
AU - Sehba, Benoît
PY - 2012/6
Y1 - 2012/6
N2 - We study boundedness properties of a class ofmultiparameter paraproducts on the dual space of the dyadic Hardy space Hd1 (TN), the dyadic product BMO space BMOd (TN). 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).
AB - We study boundedness properties of a class ofmultiparameter paraproducts on the dual space of the dyadic Hardy space Hd1 (TN), the dyadic product BMO space BMOd (TN). 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).
UR - http://www.scopus.com/inward/record.url?scp=84863322009&partnerID=8YFLogxK
U2 - 10.1007/s11854-012-0012-8
DO - 10.1007/s11854-012-0012-8
M3 - Article
AN - SCOPUS:84863322009
SN - 0021-7670
VL - 117
SP - 1
EP - 27
JO - Journal d'Analyse Mathematique
JF - Journal d'Analyse Mathematique
IS - 1
ER -