Weakly compact composition operators on analytic vector-valued function spaces.
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Bonet, José, Domański, Pawel, Lindström, Mikael (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
Wolf, Elke (2011)
Serdica Mathematical Journal
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.
Elke Wolf (2010)
Matematički Vesnik
Ze-Hua Zhou, Yu-Xia Liang, Xing-Tang Dong (2012)
Annales Polonici Mathematici
This paper characterizes the boundedness and compactness of weighted composition operators between a weighted-type space and the Hardy space on the unit ball of ℂⁿ.
E. Wolf (2009)
RACSAM
Stević, Stevo (2007)
Journal of Inequalities and Applications [electronic only]
Sanjay Kumar (2009)
Revista Matemática Complutense
Rajeev Kumar (2009)
Matematički Vesnik
Elke Wolf (2009)
Annales Polonici Mathematici
Let ϕ: → and ψ: → ℂ be analytic maps. They induce a weighted composition operator acting between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces. Under some assumptions on the weights we give a necessary as well as a sufficient condition for such an operator to be bounded resp. compact.
Elke Wolf (2008)
Revista Matemática Complutense
Gu, Dinggui (2008)
Journal of Inequalities and Applications [electronic only]
Li, Songxiao, Stević, Stevo (2007)
Abstract and Applied Analysis
Yu-Xia Liang, Chang-Jin Wang, Ze-Hua Zhou (2015)
Annales Polonici Mathematici
Let H() denote the space of all holomorphic functions on the unit ball ⊂ ℂⁿ. Let φ be a holomorphic self-map of and u∈ H(). The weighted composition operator on H() is defined by . We investigate the boundedness and compactness of induced by u and φ acting from Zygmund spaces to Bloch (or little Bloch) spaces in the unit ball.
Dubtsov, E.S. (2009)
Sibirskij Matematicheskij Zhurnal
Fu, Xiaohong, Zhu, Xiangling (2008)
Abstract and Applied Analysis
s. Kumar, K. J. Singh (2007)
Extracta Mathematicae
Elke Wolf (2011)
Matematički Vesnik
İlker Eryilmaz (2012)
Colloquium Mathematicae
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.
Stević, Stevo (2010)
Abstract and Applied Analysis
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