Anisotropic Shannon inequality (Q6195971)

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scientific article; zbMATH DE number 7818448

Language	Label	Description	Also known as
English	Anisotropic Shannon inequality	scientific article; zbMATH DE number 7818448

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scholarly article

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Anisotropic Shannon inequality (English)

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Marianna Chatzakou

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Michael Ruzhansky

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Osaka Journal of Mathematics

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publication date

14 March 2024

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full work available at URL

https://arxiv.org/abs/2106.14182

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https://projecteuclid.org/journals/osaka-journal-of-mathematics/volume-61/issue-1/Anisotropic-Shannon-inequality/5697ojm.full

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MaRDI profile type

MaRDI publication profile

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On the characterization of Shannon's entropy by Shannon's inequality

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\(L^p-L^q\) multipliers on locally compact groups

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Sobolev spaces on Lie groups: embedding theorems and algebra properties

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The optimal Euclidean \(L^{p}\)-Sobolev logarithmic inequality.

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A logarithmic Hardy inequality

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Several logarithmic Caffarelli-Kohn-Nirenberg inequalities and applications

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Quantization on nilpotent Lie groups

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Sobolev spaces on graded Lie groups

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Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

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Regularity near the characteristic set in the nonlinear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups.

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Information loss and entropy increase

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On convex semi-metric spaces and generalized Shannon inequalities

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Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups

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Fractional Hardy-Sobolev inequalities and existence results for fractional sub-Laplacians

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Beckner type of the logarithmic Sobolev and a new type of Shannon’s inequalities and an application to the uncertainty principle

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Generalizations of logarithmic Sobolev inequalities

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Hardy inequalities on homogeneous groups. 100 years of Hardy inequalities

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Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations

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A Mathematical Theory of Communication

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Best constant in Sobolev inequality

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Logarithmic Sobolev Inequalities for the Heat-Diffusion Semigroup

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6195971

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