分形Cauchy空间到Zygmund型空间的积分型复合算子  

Integral Composition Operators from the Fractional Cauchy Spaces to the Zygmund Spaces

作　　者：艾钱 Ai Qian(School of Mathematics and Computer Science,Zhejiang Normal University,Jinhua,Zhejiang 321004)

机构地区：[1]浙江师范大学数学与计算机科学学院,浙江金华321004

出　　处：《嘉兴学院学报》2023年第6期64-78,共15页Journal of Jiaxing University

摘　　要：研究分形Cauchy空间到Zygmund型空间复合算子C_(φ)与积分算子J_(g)、I_(g)乘积的四类积分型复合算子J_(g)C_(φ)、C_(φ)J_(g)、I_(g)C_(φ)和C_(φ)I_(g),刻画了算子J_(g)C_(φ)(C_(φ)J_(g),I_(g)C_(φ),C_(φ)I_(g)):F_(α)→Z^(β)成为有界或紧的充要条件.In this paper,J_(g)C_(φ),C_(φ)J_(g),I_(g)C_(φ),C_(φ)I_(g),the four types of the integral composition operators of the products of composition operator C_(φ)and integral operator J_(g)and I_(g)from the fractional Cauchy spaces to the Zygmund spaces are investigated.The necessary and sufficient conditions for these operators J_(g)C_(φ)(C_(φ)J_(g),I_(g)C_(φ),C_(φ)I_(g)):F_(α)→Z^(β)to be bounded and compact are given.

关 键 词：复合算子 Volterra型算子 积分算子 分形Cauchy空间 ZYGMUND型空间 

分 类 号：O177[理学—数学]