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Proceedings of the American Mathematical Society Series B
Proceedings of the American Mathematical Society Series B
ISSN 2330-1511

 

Minimal regularity conditions for the end-point estimate of bilinear Calderón-Zygmund operators


Authors: Carlos Pérez and Rodolfo H. Torres
Journal: Proc. Amer. Math. Soc. Ser. B 1 (2014), 1-13
MSC (2010): Primary 42B20, 42B25
Published electronically: January 9, 2014
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Abstract: Minimal regularity conditions on the kernels of bilinear operators are identified and shown to be sufficient for the existence of end-point estimates within the context of the bilinear Calderón-Zygmund theory.


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Additional Information

Carlos Pérez
Affiliation: Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, 41080 Sevilla, Spain
Email: carlosperez@us.es

Rodolfo H. Torres
Affiliation: Department of Mathematics, University of Kansas, 405 Snow Hall, 1460 Jayhawk Boulevard, Lawrence, Kansas 66045-7523
Email: torres@math.ku.edu

DOI: http://dx.doi.org/10.1090/S2330-1511-2014-00009-2
PII: S 2330-1511(2014)00009-2
Keywords: Multilinear singular integrals, Calder\'on-Zygmund theory, weak-type estimates, end-point estimates
Received by editor(s): May 29, 2012
Published electronically: January 9, 2014
Additional Notes: The first author’s research was supported in part by the Spanish Ministry of Science and Innovation grant MTM2009-08934 and by the Junta de Andalucía grant FQM-4745
The second author’s research was supported in part by the National Science Foundation under grant DMS 1069015
Dedicated: Dedicated to the memory of Cora Sadosky
Communicated by: Alexander Iosevich
Article copyright: © Copyright 2014 by the authors under Creative Commons Attribution-Noncommercial 3.0 License (CC BY NC 3.0)