Convergence of Taylor series in Fock spaces

• Autorzy: Haiying Li
• Języki publikacji: EN

Abstrakty

EN

It is well known that the Taylor series of every function in the Fock space $F^{p}_{α}$ converges in norm when 1 < p < ∞. 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 $F^{p}_{α}$ do not necessarily converge "in norm".

Kategorie tematyczne

• 30H20: Bergman spaces, Fock spaces
• 30D15: Special classes of entire functions and growth estimates

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 220
• Numer: 2
• Strony: 179-186

Daty

wydano

2014

Twórcy

autor

Haiying Li

• College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, P.R. China

Identyfikatory

DOI

10.4064/sm220-2-6