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

Pott, Sandra
Sehba, Benoit

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Publication date

January 2012

DOI

10.1007/s11854-012-0012-8

Publisher

Springer Science and Business Media LLC

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

Abstract

Extracted data

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

Abstract

Extracted data

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