Sums of Toeplitz products with harmonic symbols
Choe , Boo Rim ; Koo , Hyungwoon ; Lee , Young Joo
Rev. Mat. Iberoamericana, Tome 24 (2008) no. 2, p. 43-70 / Harvested from Project Euclid
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On the Bergman space of the unit disk, we consider a class of operators which contain sums of finitely many Toeplitz products with harmonic symbols. We give characterizations of when an operator in that class has finite rank or is compact. Our results provide a unified way of treating several known results.
Publié le : 2008-04-15
Classification:  Toeplitz operators,  Bergman space,  finite rank operators,  47B35,  32A36 
@article{1216247095,
     author = {Choe ,  Boo Rim and Koo ,  Hyungwoon and Lee ,  Young Joo},
     title = {Sums of Toeplitz products with harmonic symbols},
     journal = {Rev. Mat. Iberoamericana},
     volume = {24},
     number = {2},
     year = {2008},
     pages = { 43-70},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1216247095}
}

Choe ,  Boo Rim; Koo ,  Hyungwoon; Lee ,  Young Joo. Sums of Toeplitz products with harmonic symbols. Rev. Mat. Iberoamericana, Tome 24 (2008) no. 2, pp.  43-70. http://gdmltest.u-ga.fr/item/1216247095/