Bilinear operators, singular integrals, Calderon-Zygmund theory, commutators
A notion of compactness in the bilinear setting is explored. Moreover, commutators of bilinear Calderon-Zygmund operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillations are shown to be compact.
Proceedings of the American Mathematical Society
Required Publisher's Statement
First published in "Proceedings of the American Mathematical Society" in 2013, published by the American Mathematical Society.
Bényi, Árpád and Torres, Rodolfo H. (Rodolfo Humberto), "Compact Bilinear Operators and Commutators" (2013). Mathematics. 3.
Subjects - Topical (LCSH)
Linear operators; Compact operators; Calderón-Zygmund operator; Singular integrals; Commutators (Operator theory)
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.