4 problems

Bouleau–Hirsch energy image density conjecture. Every Dirichlet structure satisfies the energy image density property.

Let $X$ solve the quasilinear Skorohod SDE … where $X_0\in L^p(\Omega)$ for some $p>2$, $a$ satisfies the global Lipschitz and boundedness condition … for all $t\in[0,1]$,…

Let $F_\infty$ be the target random variable in the second Wiener chaos of the form referenced in the source, and let $F=I_q(f)$ be a chaotic random variable in the $q$th Wiener ch…

Stein universality lemma. For every $h\in\mathcal{H}$, this equation admits a bounded solution $f_h$ that is $d$ times differentiable, with