An optimal Sobolev embedding for \(L^1\)
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Publication:2182582
DOI10.1016/j.jfa.2020.108559zbMath1455.46039arXiv1806.07588OpenAlexW3016205704MaRDI QIDQ2182582
Publication date: 26 May 2020
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.07588
Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)
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Cites Work
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- On the regularity of solutions to Poisson's equation
- An \(L^1\)-type estimate for Riesz potentials
- On a theorem of Marcinkiewicz concerning interpolation of operations
- On the theory of harmonic functions of several variables
- On some inequalities of Bourgain, Brezis, Maz'ya, and Shaposhnikova related to \(L^1\) vector fields
- New estimates for elliptic equations and Hodge type systems
- Nonmultipliers of the Sobolev spaces \(W^{k,1}({\mathbb{R}}^ n)\)
- Inequalities for functions of the classes \(W^{\overrightarrow{m}}_p(R^n)\)
- On an embedding of Sobolev spaces
- Harmonic analysis of the space BV.
- An elementary proof of the Brezis and Mironescu theorem on the composition operator in fractional Sobolev spaces
- On the equation \(\text{div }u=f\)
- Seventy five (thousand) unsolved problems in analysis and partial differential equations
- On a new class of fractional partial differential equations. II
- Approximation in higher-order Sobolev spaces and Hodge systems
- A note on div curl inequalities
- New estimates for the Laplacian, the div-curl, and related Hodge systems
- \(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation
- Limiting Sobolev inequalities for vector fields and canceling linear differential operators
- A limiting case for the divergence equation
- Bourgain-Brezis inequalities on symmetric spaces of non-compact type
- Convolution operators and L(p, q) spaces
- On L(p,q) spaces
- Normal and integral currents
- \(H^p\) spaces of several variables
- Hardy-Sobolev inequalities for vector fields and canceling linear differential operators
- On functions of bounded mean oscillation
- A characterization of $H^{p}(R^{n})$ in terms of atoms
- Interpolation Between H p Spaces: The Real Method
- A real variable characterization of $H^{p}$
- On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases
- Classical Fourier Analysis
- Critical 𝐿^{𝑝}-differentiability of 𝐵𝑉^{}𝔸-maps and canceling operators
- On a theorem of functional analysis
- Sobolev Spaces
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