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| Carleson Measures and Toeplitz Operators on Doubling Fock Spaces |
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Citation： |
Xiaofen LV.Carleson Measures and Toeplitz Operators on Doubling Fock Spaces[J].Chinese Annals of Mathematics B,2019,40(3):349~362 |
| Page view： 846
Net amount： 739 |
Authors： |
Xiaofen LV; |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11601149, 11771139, 11571105) and the
Zhejiang Provincial Natural Science Foundation of China (No.LY15A0
10014). |
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| Abstract： |
Given $\phi$ a subharmonic function on the complex plane
$\mathbb{C}$, with $\Delta\phi \rmd A$ being a doubling measure, the
author studies Fock Carleson measures and some characterizations on
$\mu$ such that the induced positive Toeplitz operator $T_\mu$ is
bounded or compact between the doubling Fock space $F^p_\phi$ and
$F^\infty_\phi$ with $0 |
Keywords： |
Doubling Fock spaces, Carleson measure, Toeplitz operators |
Classification： |
47B38, 32A36 |
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