Weighted Berezin transformations with application to Toeplitz operators of Schatten class on parabolic Bergman spaces
Nishio, Masaharu ; Suzuki, Noriaki ; Yamada, Masahiro
Kodai Math. J., Tome 32 (2009) no. 1, p. 501-520 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In the setting of α-parabolic Bergman spaces, we consider weighted versions of averaging functions and Berezin transformations. Related norm equivalence relations are shown. They are very useful to study our Bergman spaces. As an application, we characterize the Schatten classes of compact Toeplitz operators.
Publié le : 2009-10-15
Classification:  
@article{1257948892,
     author = {Nishio, Masaharu and Suzuki, Noriaki and Yamada, Masahiro},
     title = {Weighted Berezin transformations with application to Toeplitz operators of Schatten class on parabolic Bergman spaces},
     journal = {Kodai Math. J.},
     volume = {32},
     number = {1},
     year = {2009},
     pages = { 501-520},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1257948892}
}

Nishio, Masaharu; Suzuki, Noriaki; Yamada, Masahiro. Weighted Berezin transformations with application to Toeplitz operators of Schatten class on parabolic Bergman spaces. Kodai Math. J., Tome 32 (2009) no. 1, pp.  501-520. http://gdmltest.u-ga.fr/item/1257948892/