Products of Toeplitz operators on the Bergman spaces $A\sp 2\sb \alpha$.
Language
en
Article de revue
This item was published in
St. Petersburg Mathematical Journal. 2007, vol. 18, n° 1, p. 105-118
American Mathematical Society
English Abstract
We give a sufficient and a necessary condition for the product of Toeplitz operators $ T^\alpha_f T^\alpha_{\bar g}$, with $ f,g$ analytic, to be bounded on the weighted Bergman space $ L^2_a(\mathbb{D},(1-\vert z\vert^2)^\alpha ...Read more >
We give a sufficient and a necessary condition for the product of Toeplitz operators $ T^\alpha_f T^\alpha_{\bar g}$, with $ f,g$ analytic, to be bounded on the weighted Bergman space $ L^2_a(\mathbb{D},(1-\vert z\vert^2)^\alpha dA)$. We also show that the only compact product of weighted Toeplitz operators is the trivial one.Read less <
English Keywords
Weighted Bergman spaces
Toeplitz operators
reproducing kernel thesis
Origin
Hal imported