Compact bilinear operators and commutators
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- by Árpád Bényi and Rodolfo H. Torres PDF
- Proc. Amer. Math. Soc. 141 (2013), 3609-3621 Request permission
Abstract:
A notion of compactness in the bilinear setting is explored. Moreover, commutators of bilinear Calderón-Zygmund operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillations are shown to be compact.References
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Additional Information
- Árpád Bényi
- Affiliation: Department of Mathematics, Western Washington University, 516 High Street, Bellingham, Washington 98225
- MR Author ID: 672886
- Email: arpad.benyi@wwu.edu
- Rodolfo H. Torres
- Affiliation: Department of Mathematics, University of Kansas, Lawrence, Kansas 66045
- MR Author ID: 173635
- ORCID: 0000-0002-3777-8671
- Email: torres@math.ku.edu
- Received by editor(s): January 5, 2012
- Published electronically: July 1, 2013
- Additional Notes: The second author was supported in part by the National Science Foundation grant DMS 1069015.
- Communicated by: Michael T. Lacey
- © Copyright 2013 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 141 (2013), 3609-3621
- MSC (2010): Primary 42B20, 47B07; Secondary 42B25, 47G99
- DOI: https://doi.org/10.1090/S0002-9939-2013-11689-8
- MathSciNet review: 3080183