Geodesic
Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions
Serdica Mathematical Journal, Tome 37 (2011) no. 4, pp. 341-352

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

Let f be an analytic self-map of the open unit disk D in the complex plane and y be an analytic map on D. Such maps induce a weighted composition operator followed by differentiation DCf, y acting between weighted Banach spaces of holomorphic functions. We characterize boundedness and compactness of such operators in terms of the involved weights as well as the functions f and y.
Keywords: Weighted Composition Operators, Weighted Banach Spaces, Holomorphic Functions, Differentiation 
Wolf, Elke. Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions. Serdica Mathematical Journal, Tome 37 (2011) no. 4, pp. 341-352. http://geodesic.mathdoc.fr/item/SMJ2_2011_37_4_a6/
@article{SMJ2_2011_37_4_a6,
     author = {Wolf, Elke},
     title = {Weighted composition followed by differentiation between weighted {Banach} spaces of holomorphic functions},
     journal = {Serdica Mathematical Journal},
     pages = {341--352},
     year = {2011},
     volume = {37},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2011_37_4_a6/}
}
TY  - JOUR
AU  - Wolf, Elke
TI  - Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions
JO  - Serdica Mathematical Journal
PY  - 2011
SP  - 341
EP  - 352
VL  - 37
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/SMJ2_2011_37_4_a6/
LA  - en
ID  - SMJ2_2011_37_4_a6
ER  - 
%0 Journal Article
%A Wolf, Elke
%T Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions
%J Serdica Mathematical Journal
%D 2011
%P 341-352
%V 37
%N 4
%U http://geodesic.mathdoc.fr/item/SMJ2_2011_37_4_a6/
%G en
%F SMJ2_2011_37_4_a6