G. Uraltsev

activity

20132024

most citedOn the Distributional Hessian of the Distance Function

36 citations · 42 across the 8 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.CA2019

The bilinear Hilbert transform in UMD spaces

Alex Amenta, Gennady Uraltsev

We prove $L^{p}$ -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- $L^{p}$ spaces: the Walsh case

Alex Amenta, Gennady Uraltsev

We prove modulation invariant embedding bounds from Bochner spaces $L^{p} (W; X)$ on the Walsh group to outer- $L^{p}$ spaces on the Walsh extended phase plane. The Banach space…

The bilinear Hilbert transform in UMD spaces

Banach-valued modulation invariant Carleson embeddings and outer-Lp spaces: the Walsh case

Banach-valued modulation invariant Carleson embeddings and outer- $L^{p}$ spaces: the Walsh case