85 citations · 190 across the 32 of their papers we have counts for
6 papers · 1 filter
Variation bounds for spherical averages
David Beltran, Richard Oberlin, Luz Roncal +2
We consider -variation operators for the family of spherical means, with special emphasis on estimates.
Holomorphic extensions of eigenfunctions on groups
L. Roncal, S. Thangavelu
Let be a rank one Riemannian symmetric space of noncompact type. In view of the Iwasawa decomposition of the underlying semisimple Lie group, we can also vi…
Directional square functions
Natalia Accomazzo, Francesco Di Plinio, Paul Hagelstein +2
Quantitative formulations of Fefferman's counterexample for the ball multiplier are naturally linked to square function estimates for conical and directional multipliers. In this a…
Discrete Carleman estimates and three balls inequalities
Aingeru Fernández-Bertolin, Luz Roncal, Angkana Rüland +1
We prove logarithmic convexity estimates and three balls inequalities for discrete magnetic Schrödinger operators. These quantitatively connect the discrete setting in which the un…
Bilinear spherical maximal functions of product type
L. Roncal, S. Shrivastava, K. Shuin
In this paper we introduce and study a bilinear spherical maximal function of product type in the spirit of bilinear Calderón-Zygmund theory. This operator is different from the bi…
A decomposition of Calderón--Zygmund type and some observations on differentiation of integrals on the infinite-dimensional torus
E. Fernández, L. Roncal
In this note we will show a Calderón--Zygmund decomposition associated with a function . The idea relies on an adaptation of a more general result by J. L.…