Mathematics – Functional Analysis
Scientific paper
2009-09-25
Mathematics
Functional Analysis
Scientific paper
The goal of this paper is to study the Riesz transforms $\na A^{-1/2}$ where
$A$ is the Schr\"odinger 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}
No associations
LandOfFree
Riesz transforms associated to Schrödinger operators with negative potentials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Riesz transforms associated to Schrödinger operators with negative potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Riesz transforms associated to Schrödinger operators with negative potentials will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-325291