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Let D = {z ∈ C : |z| < 1} be the open unit disk in the complex plane C, an analytic self-map of D and ψ an analytic function in D.
Let D be the differentiation operator and W ,ψ the weighted composition operator. The boundedness and compactness of the product-type operator W ,ψ D from the weighted Bergman-Orlicz space to the weighted Zygmund space on D are characterized.
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참고문헌 (25)
참고문헌 신청
A. K. Sharma / 2010 / Weighted composition operators between weighted Bergman-Nevanlinna and Bloch-type spaces / Appl. Math. Sci 41 (4) : 2039 ~ 2048
A. K. Sharma / 2011 / Products of multipication, composition and differentiation between Bergman and Bloch type spaces / Turkish J. Math 35 (2) : 275 ~ 291
B. Sehba / 2014 / On some product-type operators from Hardy-Orlicz and Bergman-Orlicz spaces to weighted-type spaces / Appl. Math. Comput 233 : 565 ~ 581
C. C. Cowen / 1995 / Composition Operators on Spaces of Analytic Functions / CRC Press
F. Colonna / 2013 / Weighted composition operators from the minimal M¨obius invariant space into the Bloch space / Mediterr. J. Math 10 (1) : 395 ~ 409
A. K. Sharma / 2011 / Products of multipication, composition and differentiation between Bergman and Bloch type spaces / Turkish J. Math 35 (2) : 275 ~ 291
B. Sehba / 2014 / On some product-type operators from Hardy-Orlicz and Bergman-Orlicz spaces to weighted-type spaces / Appl. Math. Comput 233 : 565 ~ 581
C. C. Cowen / 1995 / Composition Operators on Spaces of Analytic Functions / CRC Press
F. Colonna / 2013 / Weighted composition operators from the minimal M¨obius invariant space into the Bloch space / Mediterr. J. Math 10 (1) : 395 ~ 409
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