Schatten class generalized Toeplitz operators on the Bergman space.

Autor: Xu, Chunxu
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Jazyk: angličtina
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Druh dokumentu: Non-fiction
ISSN: 0011-4642
Abstrakt: Abstract: Let $\mu$ be a finite positive measure on the unit disk and let $j\geq1$ be an integer. D. Suárez (2015) gave some conditions for a generalized Toeplitz operator $T_{\mu}^{(j)}$ to be bounded or compact. We first give a necessary and sufficient condition for $T_{\mu}^{(j)}$ to be in the Schatten $p$-class for $1\leq p<\infty$ on the Bergman space $A^2$, and then give a sufficient condition for $T_{\mu}^{(j)}$ to be in the Schatten $p$-class $(0
Databáze: Katalog Knihovny AV ČR
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