| Commuting Hankel and Toeplitz Operators on the Hardy Space of the Bidisk |
| Received:November 10, 2009 Revised:January 04, 2010 |
| Key Words:
Hankel operator Toeplitz operator Hardy space bidisk commuting.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10671028; 10971020). |
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| Abstract: |
| In this paper, we characterize when the Toeplitz operator $T_f$ and the Hankel operator $H_g$ commute on the Hardy space of the bidisk. For certain types of bounded symbols $f$ and $g$, we give a necessary and sufficient condition on the symbols to guarantee $T_fH_g=H_gT_f.$ |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.02.002 |
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