Bounded Toeplitz and Hankel products on weighted Bergman spaces of the unit ball

• Autorzy: Małgorzata Michalska , Maria Nowak , Paweł Sobolewski
• Języki publikacji: EN

Abstrakty

EN

We prove a sufficient condition for products of Toeplitz operators $T_fT_{ḡ}$, where f,g are square integrable holomorphic functions in the unit ball in ℂⁿ, to be bounded on the weighted Bergman space. This condition slightly improves the result obtained by K. Stroethoff and D. Zheng. The analogous condition for boundedness of products of Hankel operators $H_fH*_g$ is also given.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 99
• Numer: 1
• Strony: 45-53

Daty

wydano

2010

Twórcy

autor

Małgorzata Michalska

• Institute of Mathematics, Maria Curie-Skłodowska University, 20-031 Lublin, Poland

autor

Maria Nowak

• Institute of Mathematics, Mariae Curie-Skłodowska University, 20-031 Lublin, Poland

autor

Paweł Sobolewski

• Institute of Mathematics, Mariae Curie-Skłodowska University, 20-031 Lublin, Poland

Identyfikatory

DOI

10.4064/ap99-1-4