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摘要
In Rudin (Function theory in polydiscs, Benjamin, New York 1969) constructed a submodule in H-2 (D-2) that contains no nontrivial bounded functions. This paper shows that this type of submodules is Hilbert-Schmidt by selecting a suitable power sequence. In an attempt to generalized Rudin's submodules, the paper defines zero-based submodule and makes a preliminary study about its Hilbert-Schmidtness.
- 出版日期2017-7
- 单位重庆大学
