3 citations · 3 across the 10 of their papers we have counts for
10 papers
Modular Forms and Numerical Explorations of Rational Approximations to
Cynthia Bortolotto, Lucas Oliveira
We revisit Beukers' modular-form proof of the irrationality of from the point of view of the auxiliary weight two modular form. For the Fricke group , we show…
Sharp embeddings between weighted Paley-Wiener spaces
Emanuel Carneiro, Cristian González-Riquelme, Lucas Oliveira +4
In this paper we address the problem of estimating the operator norm of the embeddings between multidimensional weighted Paley-Wiener spaces. These can be equivalently thought as F…
Fold maps associated to geodesic random walks on non-positively curved manifolds
Pablo Lessa, Lucas Oliveira
We study a family of mappings from the powers of the unit tangent sphere at a point to a complete Riemannian manifold with non-positive sectional curvature, whose behavior is relat…
Gaussians never extremize Strichartz inequalities for hyperbolic paraboloids
Emanuel Carneiro, Lucas Oliveira, Mateus Sousa
For let be a quadratic form with signs not all equal. Let $S \subset \mathbb{R}^{d…
Analysis of hyper-singular, fractional, and order-zero singular integral operators
Lucas Chaffee, Jarod Hart, Lucas Oliveira
In this article, we conduct a study of integral operators defined in terms of non-convolution type kernels with singularities of various degrees. The operators that fall within our…
Bilinear Spherical Maximal Function
J. A. Barrionevo, Loukas Grafakos, Danqing He +2
We obtain boundedness for the bilinear spherical maximal function in a range of exponents that includes the Banach triangle and a range of with . We also obtain countere…
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…
Weighted Multilinear Square Function Bounds
Lucas Chaffee, Jarod Hart, Lucas Oliveira
In this work we study boundedness of Littlewood-Paley-Stein square func- tions associated to multilinear operators. We prove weighted Lebesgue space bounds for square functions und…
Multilinear local Tb for Square functions
Ana Grau de la Herran, Jarod Hart, Lucas Oliveira
In the present work we extend a local Tb theorem for square functions of Christ and Hofmann to the multilinear setting. We also present new BMO type interpolation result for square…
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…