Loomis-Whitney inequalities on corank 1 Carnot groups

Entropy and other invariants (28D20) Length, area, volume, other geometric measure theory (28A75) Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Analysis on other specific Lie groups (43A80)

Cites Work

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A Mathematical Theory of Communication
\(L^p\) improving multilinear Radon-like transforms
Gaussian kernels have only Gaussian maximizers
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A generalization of Hölder's inequality and some probability inequalities
Best constants in Young's inequality, its converse, and its generalization to more than three functions
Optimal Young's inequality and its converse: A simple proof
A proof of a Loomis-Whitney type inequality via optimal transport
A general rearrangement inequality for multiple integrals
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Loomis-Whitney inequalities in Heisenberg groups
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Jacobian determinant inequality on corank 1 Carnot groups with applications
The Brascamp-Lieb inequalities: Finiteness, structure and extremals
A nonlinear generalisation of the Loomis-Whitney inequality and applications
Measure contraction properties of Carnot groups
Aspects of Sobolev-type inequalities
Reverse and dual Loomis-Whitney-type inequalities
Stratified Lie Groups and Potential Theory for their Sub-Laplacians
𝐿^{𝑝} improving bounds for averages along curves
Analysis and Geometry of Markov Diffusion Operators
A short proof of the multilinear Kakeya inequality
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Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces
Revisiting the heat kernel on isotropic and nonisotropic Heisenberg groups*
An inequality related to the isoperimetric inequality

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