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THE PRODUCT OPERATOR BETWEEN BLOCH-TYPE SPACES OF SLICE REGULAR FUNCTIONS

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摘要 There is little work concerning the properties of quaternionic operators acting on slice regular function spaces defined on quaternions.In this paper,we present an equivalent characterization for the boundedness of the product operator C_(φ)D^(m) acting on Bloch-type spaces of slice regular functions.After that,an equivalent estimation for its essential norm is established,which can imply several existing results on holomorphic spaces.
作者 Yuxia LIANG 梁玉霞(School of Mathematical Sciences,Tianjin Normal University,Tianjin 300387,China)
出处 《Acta Mathematica Scientia》 SCIE CSCD 2021年第5期1606-1618,共13页 数学物理学报(B辑英文版)
基金 supported by the National Natural Science Foundation of China(11701422).
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