本文選題：加權(quán)復(fù)合算子 + 超循環(huán)性　； 參考：《四川大學(xué)學(xué)報(bào)(自然科學(xué)版)》2017年06期

【摘要】：本文研究了小Bloch空間和Besov空間上的加權(quán)復(fù)合算子的超循環(huán)性,證明當(dāng)解析自映射φ是自同構(gòu)時(shí)加權(quán)復(fù)合算子λC_φ在小Bloch空間和Besov空間上都不是超循環(huán)的.此外,本文還研究了當(dāng)解析自映射φ是非自同構(gòu)、權(quán)λ∈C和u∈H(D)時(shí)加權(quán)復(fù)合算子在小Bloch空間和Besov空間上的超循環(huán)性.
[Abstract]:In this paper, we study the hypercircularity of weighted composition operators on small Bloch space and Besov space, and prove that the weighted composition operator 位 C _ 蠁 is not hypercyclic on small Bloch space and Besov space when analytic self-mapping 蠁 is an automorphism. In addition, we also study the hypercircularity of weighted composition operators on small Bloch space and Besov space when analytic self-mapping 蠁 is non-automorphism, weighted 位 鈭，

本文編號(hào)：1841357