Differences of the Weighted Differentiation Composition Operators from Mixed-Norm Spaces to Weighted-Type Spaces

We characterize the boundedness and compactness of the differences of weighted differentiation composition operators D φ 1 , u 1 n − D φ 2 , u 2 n , where n ∈ ℕ0, u 1 ,u 2 ∈ H( D ), and φ 1 , φ 2 2 S( D ), from mixed-norm spaces H(p, q, ϕ), where 0 < p, q < ∞ and ϕ is normal, to weighted-type...

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Bibliographic Details
Published in:Ukrainian mathematical journal 2016-11, Vol.68 (6), p.959-971
Main Authors: Chen, C., Zhou, Z.-H.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Differentiation
Geometry
Mathematics
Mathematics and Statistics
Operators
Statistics
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Summary:We characterize the boundedness and compactness of the differences of weighted differentiation composition operators D φ 1 , u 1 n − D φ 2 , u 2 n , where n ∈ ℕ0, u 1 ,u 2 ∈ H( D ), and φ 1 , φ 2 2 S( D ), from mixed-norm spaces H(p, q, ϕ), where 0 < p, q < ∞ and ϕ is normal, to weighted-type spaces H υ ∞ .
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-016-1269-3