Title of article :
Compact products of Toeplitz operators on the Dirichlet space of the unit ball
Author/Authors :
Lee، نويسنده , , Young Joo and Na، نويسنده , , Kyunguk Na ?، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2013
Pages :
5
From page :
654
To page :
658
Abstract :
We consider, on the Dirichlet space of the unit ball, operators which have the form of a finite sum of products of several Toeplitz operators and then give a characterization for which such an operator is compact. We show, as an application, that for n ≥ 2 , there is no nontrivial compact product of several Toeplitz operators with pluriharmonic symbols, which is a higher dimensional phenomenon whose one-variable analogue is false.
Keywords :
Toeplitz operator , Dirichlet space , Compact product
Journal title :
Journal of Mathematical Analysis and Applications
Serial Year :
2013
Journal title :
Journal of Mathematical Analysis and Applications
Record number :
1563472
Link To Document :
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