Alex Amenta

activity

20132020

most citedRescaled extrapolation for vector-valued functions

14 citations · 33 across the 12 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.CA2017

New Riemannian manifolds with $L^{p}$ -unbounded Riesz transform for $p > 2$

Alex Amenta

We construct a large class of Riemannian manifolds of arbitrary dimension with Riesz transform unbounded on $L^{p} (M)$ for all $p > 2$ . This extends recent results for Vicsek manifol…

math.FA2017★ 4 cited

Fourier multipliers in Banach function spaces with UMD concavifications

Alex Amenta, Emiel Lorist, Mark Veraar

We prove various extensions of the Coifman-Rubio de Francia-Semmes multiplier theorem to operator-valued multipliers on Banach function spaces. Our results involve a new boundednes…

math.FA2017★ 14 cited

Rescaled extrapolation for vector-valued functions

Alex Amenta, Emiel Lorist, Mark Veraar

We extend Rubio de Francia's extrapolation theorem for functions valued in UMD Banach function spaces, leading to short proofs of some new and known results. In particular we prove…

New Riemannian manifolds with Lp-unbounded Riesz transform for p>2

Fourier multipliers in Banach function spaces with UMD concavifications

Rescaled extrapolation for vector-valued functions

New Riemannian manifolds with $L^{p}$ -unbounded Riesz transform for $p > 2$