| 多元盘Bergman空间上可逆的Toeplitz算子乘积 |
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| 引用本文： | 孙志玲,卢玉锋.多元盘Bergman空间上可逆的Toeplitz算子乘积[J].数学研究及应用,2012,32(5):543-553. |
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| 作者姓名： | 孙志玲 卢玉锋 |
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| 作者单位： | 大连理工大学数学科学学院, 辽宁 大连 116024; 内蒙古民族大学数学学院, 内蒙古 通辽 028000;大连理工大学数学科学学院, 辽宁 大连 116024 |
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| 基金项目： | 国家自然科学基金(Grant No.10971020). |
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| 摘 要： | We prove a reverse Hlder inequality by using the cartesian product of dyadic rectangles and the dyadic cartesian product maximal function on Bergman space of polydisk.Next,we further describe when for which square integrable analytic functions f and g on the polydisk the densely defined products Tf Tg are bounded invertible Toeplitz operators.
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| 关 键 词： | Toeplitz operators Bergman space polydisk reverse Hlder inequality. |
| 收稿时间： | 5/4/2011 12:00:00 AM |
| 修稿时间： | 2011/8/31 0:00:00 |
Invertible Toeplitz Operators Products on the Bergman Space of the Polydisk |
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| Zhingling SUN and Yufeng LU.Invertible Toeplitz Operators Products on the Bergman Space of the Polydisk[J].Journal of Mathematical Research with Applications,2012,32(5):543-553. |
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| Authors: | Zhingling SUN and Yufeng LU |
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| Institution: | School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China; College of Mathematics, Inner Mongolia University for Nationalities, Inner Mongolia 028000, P. R. China;School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China; |
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| Abstract: | We prove a reverse H\"{o}lder inequality by using the cartesian product of dyadic rectangles and the dyadic cartesian product maximal function on Bergman space of polydisk. Next, we further describe when for which square integrable analytic functions $f$ and $g$ on the polydisk the densely defined products $T_{f}T_{\bar{g}}$ are bounded invertible Toeplitz operators. |
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| Keywords: | Toeplitz operators Bergman space polydisk reverse H\"{o}lder inequality |
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