Document Type
Article
Publication Date
3-6-2015
Keywords
Bilinear operators, Singular integrals, Calderón–Zygmund theory, Commutators, Fractional integrals, Weighted estimates
Abstract
Commutators of a large class of bilinear operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillations are shown to be jointly compact. Under a similar commutation, fractional integral versions of the bilinear Hilbert transform yield separately compact operators.
Publication Title
Mathematische Zeitschrift
Volume
280
Issue
1-2
First Page
569
Last Page
582
DOI
http://dx.doi.org/10.1007/s00209-015-1437-4
Required Publisher's Statement
The final publication is available at Springer via http://dx.doi.org/10.1007/s00209-015-1437-4
© Springer-Verlag Berlin Heidelberg 2015 DOI: 10.1007/s00209-015-1437-4
Recommended Citation
Bényi, Árpád; Damián, Wendolin; Moen, Kabe; and Torres, Rodolfo H. (Rodolfo Humberto), "Compactness Properties of Commutators of Bilinear Fractional Integrals" (2015). Mathematics Faculty Publications. 42.
https://cedar.wwu.edu/math_facpubs/42
Subjects - Topical (LCSH)
Compact operators; Calderón-Zygmund operator; Bilinear transformation method; Commutators (Operator theory)
Genre/Form
articles
Type
Text
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Language
English
Format
application/pdf
