Zero products of Toeplitz operators with harmonic symbols |
| |
Authors: | Boorim Choe Hyungwoon Koo |
| |
Institution: | Department of Mathematics, Korea University, Seoul 136-701, Korea |
| |
Abstract: | On the Bergman space of the unit ball in Cn, we solve the zero-product problem for two Toeplitz operators with harmonic symbols that have continuous extensions to (some part of) the boundary. In the case where symbols have Lipschitz continuous extensions to the boundary, we solve the zero-product problem for multiple products with the number of factors depending on the dimension n of the underlying space; the number of factors is n+3. We also prove a local version of this result but with loss of a factor. |
| |
Keywords: | Primary 47B35 secondary 32A36 |
本文献已被 ScienceDirect 等数据库收录! |