14 citations · 33 across the 12 of their papers we have counts for
15 papers
Variational Carleson operators in UMD spaces
Alex Amenta, Gennady Uraltsev
We prove -boundedness of variational Carleson operators for functions valued in intermediate UMD spaces. This provides quantitative information on the rate of convergence of p…
On the dual of variable Lebesgue spaces with unbounded exponent
Alex Amenta, Jose M. Conde-Alonso, David Cruz-Uribe +1
We study the dual space of the variable Lebesgue space $\Lp$ with unbounded exponent function $\pp$ and provide an answer to a question posed in~[fiorenza-cruzuribe2013]. Our appro…
The bilinear Hilbert transform in UMD spaces
Alex Amenta, Gennady Uraltsev
We prove -bounds for the bilinear Hilbert transform acting on functions valued in intermediate UMD spaces. Such bounds were previously unknown for UMD spaces that are not Bana…
Banach-valued modulation invariant Carleson embeddings and outer- spaces: the Walsh case
Alex Amenta, Gennady Uraltsev
We prove modulation invariant embedding bounds from Bochner spaces on the Walsh group to outer- spaces on the Walsh extended phase plane. The Banach space…
A dichotomy concerning uniform boundedness of Riesz transforms on Riemannian manifolds
Alex Amenta, Leonardo Tolomeo
Given a sequence of complete Riemannian manifolds of the same dimension, we construct a complete Riemannian manifold such that for all the -norm…
New Riemannian manifolds with -unbounded Riesz transform for
Alex Amenta
We construct a large class of Riemannian manifolds of arbitrary dimension with Riesz transform unbounded on for all . This extends recent results for Vicsek manifol…