Weighted composition operators from generalized weighted Bergman spaces to weighted-type spaces.
Gu, Dinggui (2008)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “Weighted integrals of holomorphic functions in the unit polydisc.”
Weighted composition operators from generalized weighted Bergman spaces to weighted-type spaces.
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We give necessary and sufficient conditions on the weights v and w such that the differentiation operator D: Hv(Ω) → Hw(Ω) between two weighted spaces of holomorphic functions is bounded and onto. Here Ω = ℂ or Ω = 𝔻. In particular we characterize all weights v such that D: Hv(Ω) → Hw(Ω) is bounded and onto where w(r) = v(r)(1-r) if Ω = 𝔻 and w = v if Ω = ℂ. This leads to a new description of normal weights.
Weighted differentiation composition operators from the mixed-norm space to the th weigthed-type space on the unit disk.
Stević, Stevo (2010)
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Wolf, Elke (2011)
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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.
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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.