Toeplitz products with pluriharmonic symbols on the Hardy space over the ball |
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| Authors: | Boo Rim Choe |
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| Institution: | a Department of Mathematics, Korea University, Seoul 136-713, Republic of Korea
b Department of Mathematics, Chonnam National University, Gwangju 500-757, Republic of Korea |
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| Abstract: | On the Hardy space over the unit ball in Cn, we consider operators which have the form of a finite sum of products of several Toeplitz operators. We study characterizing problems of when such an operator is compact or of finite rank. Some of our results show higher-dimensional phenomena. |
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| Keywords: | Zero product Toeplitz operator Pluriharmonic symbol Hardy space |
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