Convergence of Taylor series in Fock spaces
Tom 220 / 2014
Studia Mathematica 220 (2014), 179-186
MSC: Primary 30H20; Secondary 30D15.
DOI: 10.4064/sm220-2-6
Streszczenie
It is well known that the Taylor series of every function in the Fock space 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”.