# 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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