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A WEIGHTED COMPOSITION OPERATOR ON THE LOGARITHMIC BLOCH SPACE

Shanli Ye
대한수학회 (The Korean Mathematical Society)|2010.05|대한수학회보 (Bulletin of the KMS)|제47권 제3호|pp. 527-540

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참고문헌

키워드

compactnessboundednessweighted composition operatorlogarithmic Bloch space
주제분류수학

초록

We characterize the boundedness and compactness of the weighted composition operator on the logarithmic Bloch space LB ={f ∈ H(D) : supD(1 − |z|2) ln( 21−|z| )|f0(z)| < +∞} and the little logarithmic Bloch space LB0. The results generalize the known corresponding results on the composition operator and the pointwise multiplier on the logarithmic Bloch space LB and the little logarithmic Bloch space LB0.

Abstract

We characterize the boundedness and compactness of the weighted composition operator on the logarithmic Bloch space LB ={f ∈ H(D) : supD(1 − |z|2) ln( 21−|z| )|f0(z)| < +∞} and the little logarithmic Bloch space LB0. The results generalize the known corresponding results on the composition operator and the pointwise multiplier on the logarithmic Bloch space LB and the little logarithmic Bloch space LB0.

참고문헌 (15)

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  11. Shanli Ye, "WEIGHTED COMPOSITION OPERATORS FROM F(p, q, s) INTO LOGARITHMIC BLOCH SPACE", 대한수학회지, 45(4), pp.977~991 (2008), 대한수학회
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관련 논문AI추천

WEIGHTED COMPOSITION OPERATORS FROM F(p, q, s) INTO LOGARITHMIC BLOCH SPACEShanli Ye대한수학회 · 대한수학회지2008 · 제45권 제4호A NOTE OF WEIGHTED COMPOSITION OPERATORS ON BLOCH-TYPE SPACESJizhen Zhou, Songxiao Li대한수학회 · 대한수학회보2015 · 제52권 제5호Essential norm of the composition operators between Bergman spaces of logarithmic weights권언근, 이진기대한수학회 · 대한수학회보2017 · 제54권 제1호NEW CHARACTERIZATIONS OF COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALLZe-Hua Zhou, Zhong-Shan Fang대한수학회 · 대한수학회보2015 · 제52권 제3호Weighted composition operators from the Kim class and the Smirnov class to weighted Bloch type spacesAjay K. Sharma, Elina Subhadarsini, Mehak Sharma대한수학회 · 대한수학회논문집2018 · 제33권 제4호COMPACT INTERTWINING RELATIONS FOR COMPOSITION OPERATORS BETWEEN THE WEIGHTED BERGMAN SPACES AND THE WEIGHTED BLOCH SPACESCe-Zhong Tong, Ze-Hua Zhou대한수학회 · 대한수학회지2014 · 제51권 제1호

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