most citedScattering for the non-radial 3D cubic nonlinear Schroedinger equation

35 citations · 55 across the 5 of their papers we have counts for

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math.CA2007

Function spaces of variable smoothness and integrability

Lars Diening, Peter Hästö, Svetlana Roudenko

In this article we introduce Triebel--Lizorkin spaces with variable smoothness and integrability. Our new scale covers spaces with variable exponent as well as spaces of variable s…

math.CA2007

A universal Stein-Tomas restriction estimate for measures in three dimensions

Alex Iosevich, Svetlana Roudenko

We study restriction estimates in R^3 for surfaces given as graphs of W^1_1(R^2) (integrable gradient) functions. We obtain a "universal" L^2(mu) -> L^4(R^3, L^2(SO(3))) estimate f…