Riesz Transforms Outside a Convex Obstacle

DOI10.1093/imrn/rnv338zbMath1404.42048arXiv1205.5784OpenAlexW2217180193MaRDI QIDQ4560523

Rowan Killip, Monica Visan, Xiaoyi Zhang

Publication date: 12 December 2018

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5784

Mathematics Subject Classification ID

Harmonic analysis and PDEs (42B37)

Related Items (13)

Scattering for 3D cubic focusing NLS on the domain outside a convex obstacle revisited ⋮ The focusing NLS on exterior domains in three dimensions ⋮ On Sobolev norms involving Hardy operators in a half-space ⋮ Interaction with an obstacle in the 2D focusing nonlinear Schrödinger equation ⋮ Sharp weighted norm inequalities for singular integrals with non-smooth kernels ⋮ Generalized Schrödinger operators on the Heisenberg group and Hardy spaces ⋮ The Leibniz rule for the Dirichlet and the Neumann Laplacian ⋮ Construction of a solitary wave solution of the nonlinear focusing Schrödinger equation outside a strictly convex obstacle in the \(L^2\)-supercritical case ⋮ On scales of Sobolev spaces associated to generalized Hardy operators ⋮ Sobolev spaces adapted to the Schrödinger operator with inverse-square potential ⋮ On fractional Leibniz rule for Dirichlet Laplacian in exterior domain ⋮ Threshold solutions in the focusing 3D cubic NLS equation outside a strictly convex obstacle ⋮ The 𝑊^{𝑠,𝑝}-boundedness of stationary wave operators for the Schrödinger operator with inverse-square potential

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