Critical weak-\(L^p\) differentiability of singular integrals
DOI10.4171/rmi/1190zbMath1459.42017arXiv1810.03924OpenAlexW3014870177MaRDI QIDQ1998693
Augusto C. Ponce, Rémy Rodiac, Luigi Ambrosio
Publication date: 7 March 2021
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.03924
convolution productssingular integralsLaplacianCalderón-Zygmund decompositionlevel setsfinite measuresapproximate differentiability
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Continuity and differentiation questions (26B05) Inequalities involving derivatives and differential and integral operators (26D10) Harmonic analysis and PDEs (42B37)
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Cites Work
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- Multiple solutions to elliptic inclusions via critical point theory on closed convex sets
- Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems
- Vortices in the magnetic Ginzburg-Landau model
- A Lusin type theorem for gradients
- On approximate differentiability of functions with bounded deformation
- Limiting vorticities for the Ginzburg-Landau equations.
- Description of limiting vorticities for the magnetic 2D Ginzburg-Landau equations
- Free-boundary regularity for a problem arising in superconductivity
- Second order rectifiability of integral varifolds of locally bounded first variation
- On critical \(\mathrm{L}^p\)-differentiability of BD-maps
- On the \(L^p\)-differentiability of certain classes of functions
- On the existence of certain singular integrals
- On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation
- Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness
- Maximal functions measuring smoothness
- Solutions of fully nonlinear elliptic equations with patches of zero gradient: Existence, regularity and convexity of level curves
- Differentiability properties of Riesz potentials of finite measures and non-doubling Calderón--Zygmund Theory
- A "liquid-solid" phase transition in a simple model for swarming, based on the "no flat-spots" theorem for subharmonic functions
- Classical Fourier Analysis
- Guide to nonlinear potential estimates
- Critical 𝐿^{𝑝}-differentiability of 𝐵𝑉^{}𝔸-maps and canceling operators
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