5 papers · 1 filter
Schrödinger Equations on normal real form Symmetric Spaces
Anestis Fotiadis, Effie Papageorgiou
We prove dispersive and Strichartz estimates for Schrödinger equations on normal real form symmetric spaces. These estimates apply to the well-posedness and scattering for the nonl…
Littlewood-Paley-Stein operators on Damek-Ricci spaces
Anestis Fotiadis, Effie Papageorgiou
We obtain pointwise upper bounds on the derivatives of the heat kernel on Damek-Ricci spaces. Applying these estimates we prove the -boundedness of Littlewood-Paley-Stein oper…
The derivatives of the heat kernel on symmetric spaces
A. Fotiadis, E. Papageorgiou
We derive estimates of the derivatives of the heat kernel on noncompact symmetric spaces and on locally symmetric spaces. Applying these estimates we study the -boundedness…
Schrödinger equation on locally symmetric spaces
Anestis Fotiadis, Nikolaos Mandouvalos, Michel Marias
We prove dispersive and Strichartz estimates for Schrö- dinger equations on a class of locally symmetric spaces Γ\X, where X = G/K is a symmetric space and Γ is a torsion free disc…
Harmonic extensions of quasisymmetric maps
Anestis Fotiadis
We study the Dirichlet problem for harmonic maps between hyperbolic planes, under the assumption that the Euclidean harmonic extension of the boundary map is quasiconformal.