Anisotropic Shannon inequality
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Publication:6195971
arXiv2106.14182MaRDI QIDQ6195971
Marianna Chatzakou, Aidyn Kassymov, Michael Ruzhansky
Publication date: 14 March 2024
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.14182
Cites Work
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- A Mathematical Theory of Communication
- Quantization on nilpotent Lie groups
- Generalizations of logarithmic Sobolev inequalities
- A logarithmic Hardy inequality
- Best constant in Sobolev inequality
- Regularity near the characteristic set in the nonlinear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups.
- Sobolev spaces on Lie groups: embedding theorems and algebra properties
- On convex semi-metric spaces and generalized Shannon inequalities
- The optimal Euclidean \(L^{p}\)-Sobolev logarithmic inequality.
- Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations
- \(L^p-L^q\) multipliers on locally compact groups
- Fractional Hardy-Sobolev inequalities and existence results for fractional sub-Laplacians
- Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups
- Several logarithmic Caffarelli-Kohn-Nirenberg inequalities and applications
- Hardy inequalities on homogeneous groups. 100 years of Hardy inequalities
- Information loss and entropy increase
- Logarithmic Sobolev Inequalities for the Heat-Diffusion Semigroup
- On the characterization of Shannon's entropy by Shannon's inequality
- Sobolev spaces on graded Lie groups
- Beckner type of the logarithmic Sobolev and a new type of Shannon’s inequalities and an application to the uncertainty principle
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
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