Weighted composition operators between different weighted Bergman spaces and different Hardy spaces

Cucković, Zeljko; Zhao, Ruhan

Illinois J. Math., Tome 51 (2007) no. 3, p. 479-498 / Harvested from Project Euclid

Résumé

We characterize bounded and compact weighted composition operators acting between weighted Bergman spaces and between Hardy spaces. Our results use certain integral transforms that generalize the Berezin transform. We also estimate the essential norms of these operators. As applications, we characterize bounded and compact pointwise multiplication operators between weighted Bergman spaces and estimate their essential norms.

Publié le : 2007-04-15
Classification: 47B33, 30D55, 46E15

@article{1258138425,
     author = {Cuckovi\'c, Zeljko and Zhao, Ruhan},
     title = {Weighted composition operators between different weighted Bergman spaces and different Hardy spaces},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 479-498},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138425}
}

Cucković, Zeljko; Zhao, Ruhan. Weighted composition operators between different weighted Bergman spaces and different Hardy spaces. Illinois J. Math., Tome 51 (2007) no. 3, pp.  479-498. http://gdmltest.u-ga.fr/item/1258138425/