Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590163 | Journal of Functional Analysis | 2014 | 21 Pages |
Abstract
We consider iterated commutators of multiplication by a symbol function and smooth Calderón-Zygmund operators, described by Fourier multipliers of homogeneity 0. We establish a criterion for a collection of symbols so that the corresponding Calderón-Zygmund operators characterize product BMO by means of iterated commutators. We therefore extend, in part, the line of one-parameter results following the work of Uchiyama and Li as well as the result in several parameters, concerning commutators with Riesz transforms by Lacey, Petermichl, Pipher, Wick.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Laurent Dalenc, Stefanie Petermichl,