The essential norm of a composition operator on a planar domain
Fisher, Stephen D. ; Shapiro, Jonathan E.
Illinois J. Math., Tome 43 (1999) no. 3, p. 113-130 / Harvested from Project Euclid
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We generalize to finitely connected planar domains the result of Joel Shapiro which gives a formula for the essential norm of a composition operator. In the process, we define and give some properties of a generalization of the Nevanlinna counting function and prove generalizations of the Littlewood inequality, the Littlewood-Paley identity, and change of variable formulas, as well.
Publié le : 1999-03-15
Classification:  47B38,  30D55,  30H05 
@article{1255985340,
     author = {Fisher, Stephen D. and Shapiro, Jonathan E.},
     title = {The essential norm of a composition operator on a planar domain},
     journal = {Illinois J. Math.},
     volume = {43},
     number = {3},
     year = {1999},
     pages = { 113-130},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255985340}
}

Fisher, Stephen D.; Shapiro, Jonathan E. The essential norm of a composition operator on a planar domain. Illinois J. Math., Tome 43 (1999) no. 3, pp.  113-130. http://gdmltest.u-ga.fr/item/1255985340/