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Calderon-Zygmund type estimates for nonlocal PDE with Hölder continuous kernel (Q2020407)

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English	Calderon-Zygmund type estimates for nonlocal PDE with Hölder continuous kernel	scientific article

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scholarly article

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Calderon-Zygmund type estimates for nonlocal PDE with Hölder continuous kernel (English)

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Tadele Mengesha

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Armin Schikorra

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Advances in Mathematics

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publication date

23 April 2021

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full work available at URL

https://arxiv.org/abs/2001.11944

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zbMATH Keywords

interior \(L^p\)-regularity

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MaRDI profile type

MaRDI publication profile

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Nonlocal self-improving properties: a functional analytic approach

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Non-local Gehring lemmas in spaces of homogeneous type and applications

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Local elliptic regularity for the Dirichlet fractional Laplacian

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Higher Sobolev regularity for the fractional \(p\)-Laplace equation in the superquadratic case

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Higher Hölder regularity for the fractional \(p\)-Laplacian in the superquadratic case

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Elliptic equations with BMO coefficients in Reifenberg domains

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Factorization theorems for Hardy spaces in several variables

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Interior regularity of solutions of non-local equations in Sobolev and Nikol'skii spaces

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n/p-harmonic maps: Regularity for the sphere case

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A short proof of commutator estimates

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The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator

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Hitchhiker's guide to the fractional Sobolev spaces

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On \(L_p\)-estimates for a class of non-local elliptic equations

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Regularity results for nonlocal equations and applications

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A discrete transform and decompositions of distribution spaces

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Fractional thoughts

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Elliptic partial differential equations of second order

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Modern Fourier Analysis

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Fractional-order operators: boundary problems, heat equations

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Regularity in \(L_{p}\) Sobolev spaces of solutions to fractional heat equations

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Riesz transforms and elliptic PDEs with VMO coefficients

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Nonlocal self-improving properties

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Sharp commutator estimates via harmonic extensions

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Fractional div-curl quantities and applications to nonlocal geometric equations

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Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions

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\( H^{s, p}\) regularity theory for a class of nonlocal elliptic equations

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Higher Hölder regularity for nonlocal equations with irregular kernel

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Integro-Differential Harmonic Maps into Spheres

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\(L^p\)-gradient harmonic maps into spheres and \(SO(N)\).

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Nonlinear commutators for the fractional \(p\)-Laplacian and applications

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Boundary equations and regularity theory for geometric variational systems with Neumann data

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\(L^p\) theory for fractional gradient PDE with \(VMO\) coefficients

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Regularity for a fractional p-Laplace equation

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On a new class of fractional partial differential equations

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On a new class of fractional partial differential equations. II

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On the compactness of operators of Hankel type

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

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Identifiers

zbMATH Open document ID

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10.1016/j.aim.2021.107692

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2020407

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