2 citations · 6 across the 7 of their papers we have counts for
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Maximal operators on the infinite-dimensional torus
Dariusz Kosz, Javier Martínez Perales, Victoria Paternostro +2
We study maximal operators related to bases on the infinite-dimensional torus . {For the normalized Haar measure on it is known that $M^{\mathcal{…
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…
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.…
estimates for rough homogeneous singular integrals and sparse forms
Javier Canto, Kangwei Li, Luz Roncal +1
We consider Coifman--Fefferman inequalities for rough homogeneous singular integrals and weights. It was recently shown by Li-Pérez-Rivera-Ríos-Roncal that $$ \|T_Ω\|_{…
On the maximal function associated to the spherical means on the Heisenberg group
S. Bagchi, S. Hait, L. Roncal +1
In this paper we deal with lacunary and full versions of the spherical maximal function on the Heisenberg group , for . By suitable adaptation of an approach…