Weighted composition operators between two -spaces
Rajeev Kumar (2009)
Matematički Vesnik
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Rajeev Kumar (2009)
Matematički Vesnik
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Elke Wolf (2011)
Matematički Vesnik
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E. Wolf (2009)
RACSAM
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Elke Wolf (2012)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We study when a weighted composition operator acting between different weighted Bergman spaces is bounded, resp. compact.
Wolf, Elke (2008)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Elke Wolf (2012)
Annales UMCS, Mathematica
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We study when a weighted composition operator acting between different weighted Bergman spaces is bounded, resp. compact.
Mirzakarimi, G., Seddighi, K. (1997)
Georgian Mathematical Journal
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Liang Zhang, Ze-Hua Zhou (2015)
Open Mathematics
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The chaos of the differentiation operator on generalized weighted Bergman spaces of entire functions has been characterized recently by Bonet and Bonilla in [CAOT 2013], when the differentiation operator is continuous. Motivated by those, we investigate conditions to ensure that finite many powers of differentiation operators are disjoint hypercyclic on generalized weighted Bergman spaces of entire functions.
İlker Eryilmaz (2012)
Colloquium Mathematicae
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The boundedness, compactness and closedness of the range of weighted composition operators acting on weighted Lorentz spaces L(p,q,wdμ) for 1 < p ≤ ∞, 1 ≤ q ≤ ∞ are characterized.
Elke Wolf (2011)
Annales Polonici Mathematici
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Let ϕ: → and ψ: → ℂ be analytic maps. They induce a weighted composition operator acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces. Under some assumptions on the weights we give a characterization for such an operator to be bounded in terms of the weights involved as well as the functions ψ and ϕ
Gu, Dinggui (2008)
Journal of Inequalities and Applications [electronic only]
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Stevo Stević, Ajay K. Sharma (2012)
Annales Polonici Mathematici
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We characterize the boundedness and compactness of composition operators from weighted Bergman-Privalov spaces to Zygmund type spaces on the unit disk.
Li, Haiying, Liu, Peide (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Stević, Stevo (2009)
Discrete Dynamics in Nature and Society
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Wolf, Elke (2011)
Serdica Mathematical Journal
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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.