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Convergence of Taylor series in Fock spaces

Tom 220 / 2014

Haiying Li 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 $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”.

Autorzy

  • Haiying LiCollege of Mathematics and Information Science
    Henan Normal University
    Xinxiang 453007, P.R. China
    e-mail

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