Logarithmic mean oscillation on the polydisc,endpoint results for multi-parameter paraproducts,and commutators on BMO |
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| Authors: | Sandra Pott Benoît Sehba |
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| Affiliation: | 1.Centre for Mathematical Sciences Faculty of Science,Lund University,Lund,Sweden;2.School of Mathematics Trinity College,Dublin 2,Ireland;3.Centre de Mathématiques et Informatique,Université Aix-Marseille I,Marseille Cedex 13,France |
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| 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 ). |
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