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math.CA2016
An elementary approach to certain bilinear estimates
Jose A. Barrionuevo, Jarod Hart, Lucas Oliveira
We prove L2 x L2 to weak L1 estimates for some novel bilinear maximal operators of Kakeya and lacunary type thus extending to this setting, the works of Cordoba and of Nagel, Stein…
math.CA2008
A Note on Maximal Averages in the Plane
Jose A. Barrionuevo, Lucas Oliveira
Using variants of the TT* method we give a self-contained proof of the result of Alfonseca, Soria and Vargas on maximal operators on arbitrary directions in $\rr^2$. We also give a…
math.CA2002
A weak-type orthogonality principle
Jose Barrionuevo, Michael T. Lacey
We prove a weak-type estimate for a class of operators extending some of the almost orthogonality issues involved in the study of the bilinear Hilbert transform by Lacey and Thiele…