Commuting Hankel and Toeplitz Operators on the Hardy Space of the Bidisk
Received:November 10, 2009  Revised:January 04, 2010
Key Word: Hankel operator   Toeplitz operator   Hardy space   bidisk   commuting.  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant Nos.10671028; 10971020).
Author NameAffiliation
Yu Feng LU School of Mathematical Science, Dalian University of Technology, Liaoning 116024, P. R. China 
Bo ZHANG School of Mathematical Science, Dalian University of Technology, Liaoning 116024, P. R. China 
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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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