Characterization of Sobolev spaces on the sphere

DOI10.1016/j.jmaa.2020.124240zbMath1461.46028arXiv1907.01571OpenAlexW3026926207MaRDI QIDQ2195161

Salvador Pérez-Esteva, Teresa Luque, Juan Antonio Barceló

Publication date: 8 September 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01571

zbMATH Keywords

Sobolev spacesFourier multiplierssquare function

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15)

Related Items (5)

Norm-dependent convergence and stability of the inverse scattering series for diffuse and scalar waves ⋮ Explicit minimisers for anisotropic Coulomb energies in 3D ⋮ On critical dipoles in dimensions \(n \geq 3\) ⋮ The Fourier extension operator of distributions in Sobolev spaces of the sphere and the Helmholtz equation ⋮ Infinite-dimensional inverse problems with finite measurements

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