Minimal regularity conditions for the end-point estimate of bilinear Calderón-Zygmund operators
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- by Carlos Pérez and Rodolfo H. Torres HTML | PDF
- Proc. Amer. Math. Soc. Ser. B 1 (2014), 1-13
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.References
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Additional Information
- Carlos Pérez
- Affiliation: Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, 41080 Sevilla, Spain
- MR Author ID: 290305
- Email: carlosperez@us.es
- Rodolfo H. Torres
- Affiliation: Department of Mathematics, University of Kansas, 405 Snow Hall, 1460 Jayhawk Boulevard, Lawrence, Kansas 66045-7523
- MR Author ID: 173635
- ORCID: 0000-0002-3777-8671
- Email: torres@math.ku.edu
- 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 - Communicated by: Alexander Iosevich
- © Copyright 2014 by the authors under Creative Commons Attribution-Noncommercial 3.0 License (CC BY NC 3.0)
- Journal: Proc. Amer. Math. Soc. Ser. B 1 (2014), 1-13
- MSC (2010): Primary 42B20, 42B25
- DOI: https://doi.org/10.1090/S2330-1511-2014-00009-2
- MathSciNet review: 3148815
Dedicated: Dedicated to the memory of Cora Sadosky