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Minimal regularity conditions for the end-point estimate of bilinear Calderón-Zygmund operators
Perez, Carlos Torres, Rodolfo H.
Perez, Carlos
Torres, Rodolfo H.
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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.
Description
First published in Proc. Amer. Math. Soc. Ser. B in 2014, published by the American Mathematical Society.
A grant from the One-University Open Access Fund at the University of Kansas was used to defray the author’s publication fees in this Open Access journal. The Open Access Fund, administered by librarians from the KU, KU Law, and KUMC libraries, is made possible by contributions from the offices of KU Provost, KU Vice Chancellor for Research & Graduate Studies, and KUMC Vice Chancellor for Research. For more information about the Open Access Fund, please see http://library.kumc.edu/authors-fund.xml.
A grant from the One-University Open Access Fund at the University of Kansas was used to defray the author’s publication fees in this Open Access journal. The Open Access Fund, administered by librarians from the KU, KU Law, and KUMC libraries, is made possible by contributions from the offices of KU Provost, KU Vice Chancellor for Research & Graduate Studies, and KUMC Vice Chancellor for Research. For more information about the Open Access Fund, please see http://library.kumc.edu/authors-fund.xml.
Date
2014-01-09
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American Mathematical Society
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Keywords
Multilinear singular integrals, Calder\'on-Zygmund theory, weak-type estimates, end-point estimates
Citation
Perez, Carlos and Torres, Rodolfo H."Minimal regularity conditions for the end-point estimate of bilinear Calderón-Zygmund operators" Proc. Amer. Math. Soc. Ser. B 1 (2014), 1-13. http://dx.doi.org/10.1090/S2330-1511-2014-00009-2