Geodesic
Bounded Toeplitz and Hankel productson weighted Bergman spaces of the unit ball
Małgorzata Michalska1 ; Maria Nowak2 ; Pawe/l Sobolewski3
1 Institute of Mathematics Maria Curie-Skłodowska University 20-031 Lublin, Poland
2 Institute of Mathematics Mariae Curie-Skłodowska University 20-031 Lublin, Poland
3 Institute of Mathematics Mariae Curie-Sk/lodowska University 20-031 Lublin, Poland
Annales Polonici Mathematici, Tome 99 (2010) no. 1, pp. 45-53.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove a sufficient condition for products of Toeplitz operators $T_fT_{\bar g}$, where $f,g$ are square integrable holomorphic functions in the unit ball in $\mathbb C^n$, 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.
DOI : 10.4064/ap99-1-4
Keywords: prove sufficient condition products toeplitz operators bar where square integrable holomorphic functions unit ball mathbb bounded weighted bergman space condition slightly improves result obtained stroethoff zheng analogous condition boundedness products hankel operators * given

Małgorzata Michalska 1 ; Maria Nowak 2 ; Pawe/l Sobolewski 3

1 Institute of Mathematics Maria Curie-Skłodowska University 20-031 Lublin, Poland
2 Institute of Mathematics Mariae Curie-Skłodowska University 20-031 Lublin, Poland
3 Institute of Mathematics Mariae Curie-Sk/lodowska University 20-031 Lublin, Poland 
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Małgorzata Michalska; Maria Nowak; Pawe/l Sobolewski. Bounded Toeplitz and Hankel productson weighted Bergman spaces of the unit ball. Annales Polonici Mathematici, Tome 99 (2010) no. 1, pp. 45-53. doi : 10.4064/ap99-1-4. http://geodesic.mathdoc.fr/articles/10.4064/ap99-1-4/

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