arXiv subjects

Joyce Assaad

Publications and source records attributed to Joyce Assaad.

2 recordsLinked to original sources

arXiv2012

L^2-Theory for non-symmetric Ornstein-Uhlenbeck semigroups on domains

We present some new results on analytic Ornstein-Uhlenbeck semigroups and use them to extend recent work of Da Prato and Lunardi for Ornstein-Uhlenbeck semigroups on open domains O to the non-symmetric case. Denoting the generator of the semigroup by L_O, we obtain sufficient conditions in order that the domain Dom(\sqrt{-L_O}) be a first order Sobolev space.

math.PR↗

arXiv2009

Riesz transforms associated to Schrödinger operators with negative potentials

The goal of this paper is to study the Riesz transforms $\na A^{-1/2}$ where $A$ is the Schrödinger 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}

math.FA↗