Russell M. Brown

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20012025

most citedThe Green function for elliptic systems in two dimensions

33 citations · 201 across the 15 of their papers we have counts for

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math.CA2023

Estimates for more Brascamp-Lieb forms in $L^{p}$ -spaces with power weights

Russell M. Brown, Katharine A. Ott

We consider a class of Brascamp-Lieb forms and give conditions which guarantee the boundedness of these form on $L^{p}$ -spaces with weights that are a power of the distance to the or…

math.CA2019★ 1 cited

Extendability of functions with partially vanishing trace

Sebastian Bechtel, Russell M. Brown, Robert Haller-Dintelmann +1

Let $Ω \subseteq R^{d}$ be open and $D \subseteq \partial Ω$ be a closed part of its boundary. Under very mild assumptions on $Ω$ , we construct a bounded Sobolev extension oper…

math.CA2018

Estimates for Brascamp-Lieb forms in $L^{p}$ spaces with power weights

Russell M. Brown, Carl W. Lee, Katharine A. Ott

We establish a set of necessary conditions and a set of sufficient conditions for boundedness of a family of Brascamp-Lieb forms in Lorentz spaces and $L^{p}$ -spaces with power weigh…

Estimates for more Brascamp-Lieb forms in Lp-spaces with power weights

Extendability of functions with partially vanishing trace

Estimates for Brascamp-Lieb forms in Lp spaces with power weights

Estimates for more Brascamp-Lieb forms in $L^{p}$ -spaces with power weights

Estimates for Brascamp-Lieb forms in $L^{p}$ spaces with power weights