论文标题
加权耐寒空间上的广义加权构图操作员
Generalized weighted composition operators on weighted Hardy spaces
论文作者
论文摘要
在本文中，我们研究了加权耐力空间$ h^2（β）$上的广义加权成分算子的复杂对称结构$ d_ {m，ψ，φ} $。我们获得了$ d_ {m，ψ，φ} $的明确条件，以与共轭$ j_w $相称。假设$ d_ {m，ψ，φ} $是$ j_w $ -smmetric，给出了$ d_ {m，ψ，φ} $的一些足够且必要的条件，以给予Hermitian和正常。
In this paper, we investigate the complex symmetric structure of generalized weighted composition operators $D_{m,ψ,φ}$ on the weighted Hardy space $H^2(β)$. We obtain explicit conditions for $ D_{m,ψ,φ}$ to be complex symmetric with the conjugation $J_w$. Under the assumption that $ D_{m,ψ,φ}$ is $J_w$-symmetric, some sufficient and necessary conditions for $D_{m,ψ,φ}$ to be Hermitian and normal are given.
