Embeddings of function spaces via the Caffarelli-Silvestre extension, capacities and Wolff potentials
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Publication:2074927
DOI10.1016/j.na.2021.112758zbMath1483.35077arXiv2007.00713OpenAlexW3040050238MaRDI QIDQ2074927
Zhichun Zhai, Rui Hu, Shaoguang Shi, Pengtao Li
Publication date: 11 February 2022
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.00713
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fractional partial differential equations (35R11)
Related Items
Fractional Besov trace/extension-type inequalities via the Caffarelli-Silvestre extension ⋮ Application of capacities to space–time fractional dissipative equations I: regularity and the blow-up set ⋮ BV capacity and perimeter in abstract Wiener spaces and applications ⋮ Capacities and embeddings of Besov spaces via general convolution kernels ⋮ Strengthened fractional Sobolev type inequalities in Besov spaces ⋮ Toward weighted Lorentz-Sobolev capacities from Caffarelli-Silvestre extensions ⋮ Application of capacities to space-time fractional dissipative equations. II: Carleson measure characterization for \(L^q (\mathbb{R}_+^{n+1}, \mu)\)-extension
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