Fock-Sobolev spaces and their Carleson measures

Hongrae Cho, Kehe Zhu

We consider the Fock-Sobolev space $F^{p,m}$ consisting of entire functions $f$ such that $f^{(m)}$, the $m$-th order derivative of $f$, is in the Fock space $F^p$. We show that an…