Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions
Serdica Mathematical Journal (2011)
- Volume: 37, Issue: 4, page 341-352
- ISSN: 1310-6600
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topWolf, Elke. "Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions." Serdica Mathematical Journal 37.4 (2011): 341-352. <http://eudml.org/doc/281561>.
@article{Wolf2011,
abstract = {2010 Mathematics Subject Classification: 47B33, 47B38.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.},
author = {Wolf, Elke},
journal = {Serdica Mathematical Journal},
keywords = {Weighted Composition Operators; Weighted Banach Spaces; Holomorphic Functions; Differentiation; weighted composition operators followed by differentiation; weighted Banach spaces of holomorphic functions},
language = {eng},
number = {4},
pages = {341-352},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions},
url = {http://eudml.org/doc/281561},
volume = {37},
year = {2011},
}
TY - JOUR
AU - Wolf, Elke
TI - Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions
JO - Serdica Mathematical Journal
PY - 2011
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 37
IS - 4
SP - 341
EP - 352
AB - 2010 Mathematics Subject Classification: 47B33, 47B38.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.
LA - eng
KW - Weighted Composition Operators; Weighted Banach Spaces; Holomorphic Functions; Differentiation; weighted composition operators followed by differentiation; weighted Banach spaces of holomorphic functions
UR - http://eudml.org/doc/281561
ER -
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