Zero Products of Toeplitz Operators with <Emphasis Type="Italic">n</Emphasis>-Harmonic Symbols |
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Authors: | Boo Rim Choe Hyungwoon Koo Young Joo Lee |
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Institution: | (1) Department of Mathematics, Korea University, Seoul, 136–713, Korea;(2) Department of Mathematics, Chonnam National University, Gwangju, 500-757, Korea |
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Abstract: | On the Bergman space of the unit polydisk in the complex n-space, we solve the zero-product problem for two Toeplitz operators with n-harmonic symbols that have local continuous extension property up to the distinguished boundary. In the case where symbols
have additional Lipschitz continuity up to the whole distinguished boundary, we solve the zero-product problem for products
with four factors. We also prove a local version of this result for products with three factors. |
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Keywords: | Primary 47B35 Secondary 32A36 |
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