Compact Differences of Composition Operators on Holomorphic Function Spaces in the Unit Ball
Jiang, Liangying ; Ouyang, Caiheng
arXiv, 1008.1675 / Harvested from arXiv
Text on arXiv
We find a lower bound for the essential norm of the difference of two composition operators acting on $H^2(B_N)$ or $A^2_s(B_N)$ ($s>-1$). This result plays an important role in proving a necessary and sufficient condition for the difference of linear fractional composition operators to be compact, which answers a question posed by MacCluer and Weir in 2005.
Publié le : 2010-08-10
Classification:  Mathematics - Complex Variables,  Mathematics - Functional Analysis,  47B38 (Primary), 32A35 (Secondary), 32A36 
@article{1008.1675,
     author = {Jiang, Liangying and Ouyang, Caiheng},
     title = {Compact Differences of Composition Operators on Holomorphic Function
  Spaces in the Unit Ball},
     journal = {arXiv},
     volume = {2010},
     number = {0},
     year = {2010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1008.1675}
}

Jiang, Liangying; Ouyang, Caiheng. Compact Differences of Composition Operators on Holomorphic Function
  Spaces in the Unit Ball. arXiv, Tome 2010 (2010) no. 0, . http://gdmltest.u-ga.fr/item/1008.1675/