S. Roudenko

activity

20062026

most citedA sharp condition for scattering of the radial 3d cubic nonlinear Schroedinger equation

307 citations · 580 across the 47 of their papers we have counts for

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math.CA2019

Littlewood-Paley Theory for Matrix-Weighted Function Spaces

Michael Frazier, Svetlana Roudenko

We define the vector-valued, matrix-weighted function spaces $F ˙_{p}^{α q} (W)$ (homogeneous) and $F_{p}^{α q} (W)$ (inhomogeneous) on $R^{n}$ , for $α \in R$ , $0<p<\inf…

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…