Products of Toeplitz operators on the Bergman spaces $A\sp 2\sb \alpha$.
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en
Article de revue
Este ítem está publicado en
St. Petersburg Mathematical Journal. 2007, vol. 18, n° 1, p. 105-118
American Mathematical Society
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
Weighted Bergman spaces
Toeplitz operators
reproducing kernel thesis
Orígen
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