14 citations · 33 across the 12 of their papers we have counts for
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math.CA2019★ 2 cited
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…
math.CA2019
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…
math.CA2019
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…