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

Sandra Pott, Benoît Sehba

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

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).

Original languageEnglish
Pages (from-to)1-27
Number of pages27
JournalJournal d'Analyse Mathematique
Volume117
Issue number1
DOIs
Publication statusPublished - Jun 2012
Externally publishedYes

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