Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/de-gruyter/continuity-property-for-the-commutators-of-multilinear-calder-n-SJWsJJYjj1
References
References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.
- Publisher
- de Gruyter
- Copyright
- Copyright © 2013 by the
- ISSN
- 0933-7741
- eISSN
- 1435-5337
- DOI
- 10.1515/form.2011.134
- Publisher site
- See Article on Publisher Site
Abstract
Abstract. It is well known that the commutator of a linear Calderón–Zygmund operator T associated with a function b does not satisfy some continuity properties, such as the continuity from the Hardy space H p into L p for and weak ( 1 , 1 ). Thus, an alternative result was given by J. Alvarez and C. Pérez, who proved that is continuous from an atomic Hardy space into L p , where is a subspace of the Hardy space H p for . In this paper, we study this continuity property in the multilinear setting. More precisely, we study the commutator of multilinear Calderón–Zygmund operators on product subspaces of Hardy type spaces, where . The endpoint continuity from the product of sub-Hardy spaces into L p for the commutator is obtained. Note that type estimates in linear and multilinear setting were obtained in works of C. Pérez and A. K. Lerner et al., as an alternative result of the type weak ( 1 , 1 ) and multilinear generalizations.
Journal
Forum Mathematicum – de Gruyter
Published: Jul 1, 2013