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Article
Compact Bilinear Operators and Commutators
Proceedings of the American Mathematical Society
  • Árpád Bényi, Western Washington University
  • Rodolfo H. (Rodolfo Humberto) Torres, University of Kansas
Document Type
Article
Publication Date
1-1-2013
Keywords
  • Bilinear operators,
  • Singular integrals,
  • Calderon-Zygmund theory,
  • Commutators.
Disciplines
Abstract

A notion of compactness in the bilinear setting is explored. Moreover, commutators of bilinear Caldeŕon-Zygmund operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillations are shown to be compact.

Required Publisher's Statement

This version is the author's post print.

Comments

This version is the author's post print.

Subjects - Topical (LCSH)
Linear operators; Compact operators; Calderón-Zygmund operator; Singular integrals; 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
Citation Information
Árpád Bényi and Rodolfo H. (Rodolfo Humberto) Torres. "Compact Bilinear Operators and Commutators" Proceedings of the American Mathematical Society Vol. 141 Iss. 10 (2013) p. 3609 - 3621
Available at: http://works.bepress.com/arpad_benyi/25/