Sharp weighted Young's inequalities and Moser-Trudinger inequalities on Heisenberg type groups and Grushin spaces

DOI10.1007/s11118-005-9007-8zbMath1099.43006OpenAlexW2123377163MaRDI QIDQ2498497

Jeremy T. Tyson

Publication date: 16 August 2006

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-005-9007-8

zbMATH Keywords

Carnot groupMoser-Trudinger inequalityYoung's inequalityHeisenberg type groupGrushin plane

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on real and complex Lie groups (22E30) Convolution, factorization for one variable harmonic analysis (42A85) Analysis on other specific Lie groups (43A80) Classical hypergeometric functions, ({}_2F_1) (33C05) Inequalities involving derivatives and differential and integral operators (26D10) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items

Asymptotics and inversion of Riesz potentials through decomposition in radial and spherical parts ⋮ Sharp weighted Hardy type inequalities and Hardy-Sobolev type inequalities on polarizable Carnot groups ⋮ Liouville theorem, conformally invariant cones and umbilical surfaces for Grushin-type metrics ⋮ Sharp constants for weighted Moser-Trudinger inequalities on groups of Heisenberg type ⋮ Sub-Riemannian Geometry and Hypoelliptic Operators ⋮ A weighted Trudinger-Moser inequality on \(\mathbb{R}^N\) and its application to Grushin operator ⋮ Hardy-type inequalities on H-type groups and anisotropic Heisenberg groups ⋮ Rearrangements in Carnot groups ⋮ Improved critical Hardy inequality and Leray-Trudinger type inequalities in Carnot groups

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