논문KCI 등재
Generalized Integration Operator between the Bloch-type Space and Weighted Dirichlet-type Spaces
경북대학교 자연과학대학 수학과|2020.09|Kyungpook Mathematical Journal|제60권 제3호|pp. 519-534|DOI 10.5666/KMJ.2020.60.3.519
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Let H(D) be the space of all holomorphic functions on the open unit disc D in the complex plane C. In this paper, we investigate the boundedness and compactness of the generalized integration operatorI(n)g,ϕ(f)(z) = Z0f(n)(ϕ(ξ))g(ξ) dξ, z ∈ D, between Bloch-type and weighted Dirichlet-type spaces, where ϕ is a holomorphic self-map of D, n ∈ N and g ∈ H(D).
Abstract
Let H(D) be the space of all holomorphic functions on the open unit disc D in the complex plane C. In this paper, we investigate the boundedness and compactness of the generalized integration operatorI(n)g,ϕ(f)(z) = Z0f(n)(ϕ(ξ))g(ξ) dξ, z ∈ D, between Bloch-type and weighted Dirichlet-type spaces, where ϕ is a holomorphic self-map of D, n ∈ N and g ∈ H(D).
참고문헌 (24)
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관련 논문AI추천
PRODUCTS OF DIFFERENTIATION AND COMPOSITION OPERATORS FROM THE BLOCH SPACE AND WEIGHTED DIRICHLET SPACES TO MORREY TYPE SPACESQinghua Hu, Songxiao Li대한수학회 · 대한수학회지2017 · 제54권 제2호NEW CHARACTERIZATIONS OF COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALLZe-Hua Zhou, Zhong-Shan Fang대한수학회 · 대한수학회보2015 · 제52권 제3호Volterra composition operators between weighted bergman spaces and Bloch type spacesSongxiao Li대한수학회 · 대한수학회지2008 · 제45권 제1호A NOTE OF WEIGHTED COMPOSITION OPERATORS ON BLOCH-TYPE SPACESJizhen Zhou, Songxiao Li대한수학회 · 대한수학회보2015 · 제52권 제5호WEIGHTED COMPOSITION OPERATORS FROM F(p, q, s) INTO LOGARITHMIC BLOCH SPACEShanli Ye대한수학회 · 대한수학회지2008 · 제45권 제4호Generalized weighted composition operators from area Nevanlinna spaces to weighted-type spacesYang Weifeng, Yan Weiren대한수학회 · 대한수학회보2011 · 제48권 제6호
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