The affine Sobolev-Zhang inequality on BV(\(\mathbb R^n)\)
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Publication:436159
DOI10.1016/j.aim.2012.04.022zbMath1257.46016OpenAlexW125375219MaRDI QIDQ436159
Publication date: 30 July 2012
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2012.04.022
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
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Cites Work
- Sharp convex Lorentz-Sobolev inequalities
- An asymmetric affine Pólya-Szegő principle
- Affine Moser-Trudinger and Morrey-Sobolev inequalities
- Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
- A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities.
- The affine Sobolev inequality.
- Sharp affine \(L_ p\) Sobolev inequalities.
- A notion of total variation depending on a metric with discontinuous coefficients
- Asymmetric affine \(L_p\) Sobolev inequalities
- A quantitative Sobolev inequality in BV
- Normal and integral currents
- Valuations on Sobolev spaces
- The Brunn-Minkowski inequality
- Optimal Sobolev norms and the Lp Minkowski problem
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