New Brezis-van Schaftingen-Yung-Sobolev type inequalities connected with maximal inequalities and one parameter families of operators
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Publication:2105743
DOI10.1016/j.aim.2022.108774OpenAlexW3097152363MaRDI QIDQ2105743
Publication date: 8 December 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.15873
Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier series and coefficients in several variables (42B05)
Related Items (9)
A new formula for the \(L^p\) norm ⋮ Anisotropic versions of the Brezis-Van Schaftingen-Yung approach at \(s = 1\) and \(s = 0\) ⋮ Generalized Brezis-Seeger-Van Schaftingen-Yung formulae and their applications in ball Banach Sobolev spaces ⋮ Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities ⋮ Self-improving Poincaré-Sobolev type functionals in product spaces ⋮ A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics. I ⋮ Gagliardo representation of norms of ball quasi-Banach function spaces ⋮ The Bourgain-Brezis-Mironescu formula on ball Banach function spaces ⋮ Spaces of Besov-Sobolev type and a problem on nonlinear approximation
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