Boundedness of non-local operators with spatially dependent coefficients and \(L_p\)-estimates for non-local equations

DOI10.1007/s00526-022-02392-4zbMath1505.35349arXiv2111.04029OpenAlexW4313643569MaRDI QIDQ2678240

Pilgyu Jung, Hongjie Dong, Do-Yoon Kim

Publication date: 9 January 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.04029

zbMATH Keywords

Muckenhoupt weight spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Linear operators on function spaces (general) (47B38) Fractional partial differential equations (35R11)

Related Items (6)

On BMO and Hardy regularity estimates for a class of non-local elliptic equations ⋮ A weighted \(L_p\)-regularity theory for parabolic partial differential equations with time-measurable pseudo-differential operators ⋮ Existence and uniqueness of weak solutions to a truncated system for a class of time-fractional reaction-diffusion-advection systems ⋮ Sobolev estimates for fractional parabolic equations with space-time non-local operators ⋮ A Regularity Theory for Parabolic Equations with Anisotropic Nonlocal Operators in \(\boldsymbol{L_{{q}}(L_{{p}})}\) Spaces ⋮ Global endpoint regularity estimates for the fractional Dirichlet problem

Cites Work

• Unnamed Item
• On \(L_p\)-estimates for a class of non-local elliptic equations
• On the martingale problem for generators of stable processes with perturbations
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• Lévy processes and Fourier multipliers
• On the Cauchy problem for certain integro-differential operators in Sobolev and Hölder spaces
• Schauder estimates for a class of non-local elliptic equations
• Kinetic maximal \(L_\mu^p(L^p)\)-regularity for the fractional Kolmogorov equation with variable density
• On the Cauchy problem for integro-differential operators in Hölder classes and the uniqueness of the martingale problem
• On the Cauchy problem for integro-differential operators in Sobolev classes and the martingale problem
• Weighted estimates for singular integral operators satisfying Hörmander's conditions of Young type
• Regularity theory for fully nonlinear integro-differential equations
• Results on Weighted Norm Inequalities for Multipliers
• Weighted norm inequalities for maximal functions and singular integrals
• On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights
• Financial Modelling with Jump Processes
• The sharp weighted bound for the Riesz transforms
• Distribution Function Inequalities for Singular Integrals

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