Oscillating multipliers on symmetric spaces and locally symmetric spaces
We prove $L^{p}$-boundedness of oscillating multipliers on all symmetric spaces and a class of locally symmetric spaces.
math.RT↗
arXiv subjects
Effie Papageorgiou
Publications and source records attributed to Effie Papageorgiou.
Riesz means on symmetric spaces
Let $X$ be a non-compact symmetric space of dimension $n$. We prove that if $f\in L^{p}(X)$, $1\leq p\leq 2$, then the Riesz means $S_{R}^{z}\left( f\right)$ converge to $f$ almost everywhere as $R\rightarrow \infty $, whenever $\operatorname{Re}z>\left( n-\frac{1}{2}\right) \left( \frac{2}{p}-1\right) $.
math.FA↗
Riesz means on homogeneous trees
Let $\mathbb{T}$ be a homogeneous tree. We prove that if $f\in L^{p}(X)$, $1\leq p\leq 2$, then the Riesz means $S_{R}^{z}\left( f\right) $ converge to $f$ almost everywhere as $R\rightarrow \infty $, whenever $\operatorname{Re}z>0 $.
math.CA↗
Littlewood-Paley-Stein operators on Damek-Ricci spaces
We obtain pointwise upper bounds on the derivatives of the heat kernel on Damek-Ricci spaces. Applying these estimates we prove the $L^p$-boundedness of Littlewood-Paley-Stein operators.
math.AP↗
Schrödinger Equations on normal real form Symmetric Spaces
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 nonlinear Schrödinger equations.
math.AP↗
Oscillating multipliers on rank one locally symmetric spaces
We prove $L^{p}$-boundedness of oscillating multipliers on some classes of rank one locally symmetric spaces.
math.AP↗