The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

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

På svenska

Author

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) ).

Publishing year

2012

Language

English

Pages

1-27

Publication/Series

Journal d'Analyse Mathematique

Volume

117

Issue

1

Document type

Journal article

Publisher

Magnes Press

Topic

  • Mathematics

Status

Published

ISBN/ISSN/Other

  • ISSN: 1565-8538