On the Calderon-Zygmund property of Riesz-transform type operators arising in nonlocal equations

DOI10.3934/cpaa.2021071zbMath1477.45007arXiv2007.04173OpenAlexW3168413742MaRDI QIDQ2238235

Sasikarn Yeepo, Sujin Khomrutai, Armin Schikorra, Wicharn Lewkeeratiyutkul

Publication date: 1 November 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.04173

zbMATH Keywords

regularity theorynonlocal PDECalderon-Zygmund

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral operators (45P05) Pseudodifferential operators (47G30)

Related Items (3)

Calderón-Zygmund theory for non-convolution type nonlocal equations with continuous coefficient ⋮ Regularity theory for nonlocal equations with VMO coefficients ⋮ Calderon-Zygmund type estimates for nonlocal PDE with Hölder continuous kernel

Cites Work

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• Calderon-Zygmund type estimates for nonlocal PDE with Hölder continuous kernel
• Higher Hölder regularity for nonlocal equations with irregular kernel
• \( H^{s, p}\) regularity theory for a class of nonlocal elliptic equations
• The Dirichlet problem for nonlocal operators
• Nonlocal self-improving properties
• Modern Fourier Analysis
• Nonlocal operators with singular anisotropic kernels

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