Concepedia

The Subelliptic Heat Kernels on SL(2, ℝ) and on its Universal Covering $\widetilde{\mathbf{SL}(2,\mathbb{R})}$ : Integral Representations and Some Functional Inequalities

Michel Bonnefont

Potential Analysis · 2011 · 45 citations · 11 references

DOI

Concepts

References

11

Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces

Nicola Garofalo, Duy-Minh Nhieu · Communications on Pure and Applied Mathematics · 1996 · 546 citations

, , +10

On Carnot-Carathéodory metrics

John W. Mitchell · Journal of Differential Geometry · 1985 · 302 citations · Full text

, , +7

HEAT KERNELS AND SPECTRAL THEORY: (Cambridge Tracts in Mathematics 92)

T. K. Carne · Bulletin of the London Mathematical Society · 1990 · 232 citations

, , +11

The distribution of energy in the Brownian motion in the Gaussian field and analytic-hypoellipticity of certain subelliptic operators on the Heisenberg group

Andrzej Hulanicki · Studia Mathematica · 1976 · 196 citations · Full text

, , +11

A logarithmic Sobolev form of the Li-Yau parabolic inequality

Dominique Bakry, Michel Ledoux · Revista Matemática Iberoamericana · 2006 · 133 citations · Full text

, , +14