# Boundedness and compactness of weighted composition operators between weighted Bergman spaces

Annales UMCS, Mathematica (2012)

- Volume: 66, Issue: 1, page 75-75
- ISSN: 2083-7402

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topElke Wolf. "Boundedness and compactness of weighted composition operators between weighted Bergman spaces." Annales UMCS, Mathematica 66.1 (2012): 75-75. <http://eudml.org/doc/268332>.

@article{ElkeWolf2012,

abstract = {We study when a weighted composition operator acting between different weighted Bergman spaces is bounded, resp. compact.},

author = {Elke Wolf},

journal = {Annales UMCS, Mathematica},

keywords = {Weighted Bergman space; composition operator; weighted Bergman space; weighted composition operator; Carleson measure},

language = {eng},

number = {1},

pages = {75-75},

title = {Boundedness and compactness of weighted composition operators between weighted Bergman spaces},

url = {http://eudml.org/doc/268332},

volume = {66},

year = {2012},

}

TY - JOUR

AU - Elke Wolf

TI - Boundedness and compactness of weighted composition operators between weighted Bergman spaces

JO - Annales UMCS, Mathematica

PY - 2012

VL - 66

IS - 1

SP - 75

EP - 75

AB - We study when a weighted composition operator acting between different weighted Bergman spaces is bounded, resp. compact.

LA - eng

KW - Weighted Bergman space; composition operator; weighted Bergman space; weighted composition operator; Carleson measure

UR - http://eudml.org/doc/268332

ER -

## References

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- MacCluer, B., Ohno, S. and Zhao, R., Topological structure of the space of composition operators on H∞, Integral Equations Operator Theory 40 (2001), no. 4, 481-494. Zbl1062.47511
- Nieminen, P., Compact differences of composition operators on Bloch and Lipschitz spaces, Comput. Methods Funct. Theory 7 (2007), no. 2, 325-344. Zbl1146.47016
- Palmberg, N., Weighted composition operators with closed range, Bull. Austral. Math. Soc. 75 (2007), no. 3, 331-354. Zbl1123.47028
- Shapiro, J. H., Composition Operators and Classical Function Theory, Universitext: Tracts in Mathematics. Springer-Verlag, New York, 1993.
- Wolf, E., Weighted composition operators between weighted Bergman spaces, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM 103 (2009), no. 1, 11-15. Zbl1197.47041

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