Riesz transforms associated to Schrödinger operators with negative potentials
Language
en
Autre document
This item was published in
2009
English Abstract
The goal of this paper is to study the Riesz transforms $\na A^{-1/2}$ where $A$ is the Schr\"{o}dinger operator $-\D-V,\ \ V\ge 0$, under different conditions on the potential $V$. We prove that if $V$ is strongly ...Read more >
The goal of this paper is to study the Riesz transforms $\na A^{-1/2}$ where $A$ is the Schr\"{o}dinger operator $-\D-V,\ \ V\ge 0$, under different conditions on the potential $V$. We prove that if $V$ is strongly subcritical, $\na A^{-1/2}$ is bounded on $L^p(\R^N)$ , $N\ge3$, for all $p\in(p_0';2]$ where $p_0'$ is the dual exponent of $p_0$ where $2<\frac{2N}{N-2}Read less <
English Keywords
Riemannian manifolds
Riesz transforms
Schrödinger operators
off-diagonal estimates
singular operators
Riemannian manifolds.
Origin
Hal imported