Convergence of Taylor series in Fock spaces
Volume 220 / 2014
Studia Mathematica 220 (2014), 179-186
MSC: Primary 30H20; Secondary 30D15.
DOI: 10.4064/sm220-2-6
Abstract
It is well known that the Taylor series of every function in the Fock space $F^p_\alpha $ converges in norm when $1< p< \infty $. It is also known that this is no longer true when $p=1$. In this note we consider the case $0< p< 1$ and show that the Taylor series of functions in $F^p_\alpha $ do not necessarily converge “in norm”.
