EuDML | Browse

We consider the heat kernel $ϕ_{t}$ corresponding to the left invariant sub-Laplacian with drift term in the first commutator of the Lie algebra, on a nilpotent Lie group. We improve the results obtained by G. Alexopoulos in [1], [2] proving the “exact Gaussian factor” exp(-|g|²/4(1+ε)t) in the large time upper Gaussian estimate for $ϕ_{t}$ . We also obtain a large time lower Gaussian estimate for $ϕ_{t}$ .

Sub-Laplacians of holomorphic $L^{p}$ -type on exponential Lie groups

Detlef Müller (2002)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In this survey article, I shall give an overview on some recent developments concerning the $L^{p}$ -functional calculus for sub-Laplacians on exponential solvable Lie groups. In particular, I shall give an outline on some recent joint work with W. Hebisch and J. Ludwig on sub-Laplacians which are of holomorphic $L^{p}$ -type, in the sense that every $L^{p}$ -spectral multiplier for $p \neq 2$ will be holomorphic in some domain.

Displaying 21 – 30 of 30

Stable base change C / R of certain derived functor modules.

Stable semi-groups of measures as commutative approximate identities on non-graded homogeneous groups.

Stable semi-groups of measures on the Heisenberg group

Stime $L^{p} - L^{q}$ per operatori di convoluzione e integrazione frazionaria lungo curve

Sub-Laplacian with drift in nilpotent Lie groups

Sub-Laplacians of holomorphic $L^{p}$ -type on exponential Lie groups

Sur certains opérateurs différentiels invariants du groupe hyperbolique

Sur l'analyse harmonique du groupe affine de la droite

Sur l'analyse harmonique sur les groupes de Lie résolubles

Sur les représentations différentiables des groupes de Lie algébriques

Currently displaying 21 – 30 of 30