We characterize the boundedness and compactness of the differences of weighted differentiation composition operators \( {D}_{\varphi_1,{u}_1}^n-{D}_{\varphi_2,{u}_2}^n, \) where n ∈ ℕ0, u1,u2 ∈ H(\( \mathbb{D} \)), and \( \varphi \) 1, \( \varphi \) 2 2 S(\( \mathbb{D} \)), from mixed-norm spaces H(p, q, ϕ), where 0 < p, q < ∞ and ϕ is normal, to weighted-type spaces H ∞ υ .
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 6, pp. 842–852, June, 2016.
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Chen, C., Zhou, ZH. Differences of the Weighted Differentiation Composition Operators from Mixed-Norm Spaces to Weighted-Type Spaces. Ukr Math J 68, 959–971 (2016). https://doi.org/10.1007/s11253-016-1269-3
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DOI: https://doi.org/10.1007/s11253-016-1269-3