Best constants for Moser-Trudinger inequalities, fundamental solutions and one-parameter representation formulas on groups of Heisenberg type
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Publication:1862895
DOI10.1007/s101140200159zbMath1011.22004OpenAlexW1999603929MaRDI QIDQ1862895
Publication date: 10 April 2003
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s101140200159
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on real and complex Lie groups (22E30) Second-order elliptic equations (35J15) Variational inequalities (global problems) in infinite-dimensional spaces (58E35)
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Cites Work
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- Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Extremals of functionals with competing symmetries
- Geometric properties of Heisenberg-type groups
- Conformal deformations of metric on \({\mathcal S}\) 2
- The Yamabe problem on CR manifolds
- Critical points of embeddings of \(H_ 0^{1,n}\) into Orlicz spaces
- Intrinsic CR normal coordinates and the CR Yamabe problem
- A sharp inequality of J. Moser for higher order derivatives
- Quasiregular maps on Carnot groups
- Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on \(S^ n\)
- Extremal functions for the Trudinger-Moser inequality in 2 dimensions
- Estimates and extremals for zeta function determinants on four-manifolds
- Best constant in Sobolev inequality
- Sharp borderline Sobolev inequalities on compact Riemannian manifolds
- Sharp inequalities and geometric manifolds
- Fundamental solution for the \(Q\)-Laplacian and sharp Moser--Trudinger inequality in Carnot groups.
- Polar coordinates in Carnot groups
- \(H\)-type groups and Iwasawa decompositions
- On the positivity of the effective action in a theory of random surfaces
- Symmetry properties of positive entire solutions of Yamabe-type equations on groups of Heisenberg type
- Convolution operators and L(p, q) spaces
- On the Grushin operator and hyperbolic symmetry
- Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem
- Sobolev inequalities, the Poisson semigroup, and analysis on the sphere Sn.
- Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
- Best constants for Moser-Trudinger inequalities on the Heisenberg group
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Extremal functions for Moser’s inequality
- A fundamental solution for a subelliptic operator
- Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations
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