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Singular integrals with angular integrability


Authors: Federico Cacciafesta and Renato Lucà
Journal: Proc. Amer. Math. Soc. 144 (2016), 3413-3418
MSC (2010): Primary 42B37, 42B20
DOI: https://doi.org/10.1090/proc/13123
Published electronically: March 25, 2016
MathSciNet review: 3503709
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Abstract: In this note we prove a class of sharp inequalities for singular integral operators in weighted Lebesgue spaces with angular integrability.


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Federico Cacciafesta
Affiliation: Dipartimento di Matematica, SAPIENZA — Università di Roma, Piazzale A. Moro 2, I-00185 Roma, Italy
Email: cacciafe@mat.uniroma1.it

Renato Lucà
Affiliation: Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM, Madrid, 28049, Spain
Email: renato.luca@icmat.es

DOI: https://doi.org/10.1090/proc/13123
Keywords: Singular integrals. angular integrability
Received by editor(s): September 26, 2015
Published electronically: March 25, 2016
Communicated by: Alexander Iosevich
Article copyright: © Copyright 2016 American Mathematical Society