6 papers
Norm of the generalized Hilbert operator on weighted Bergman spaces
Dongxing Li, Songxiao Li, Weiye Pan +2
Several upper bounds as well as one lower bound for the operator norm of the generalized Hilbert operator acting on weighted Bergman spaces are established.…
Carleson measures, Volterra integral operators and multipliers for spaces
Wujun Cao, Zhouyuan Jiang, Songxiao Li
We characterize the positive Borel measures on the unit disc for which the Möbius-invariant space embeds continuously or compactly into . The charact…
Norm of the generalized Hilbert operator on Hardy spaces
Songxiao Li, Weiye Pan, Mengmeng Zhou
We study the generalized Hilbert operator \[ \mathcal{H}_b f(z)=\int_0^1 f(t)\,\frac{(1-t)^b}{(1-tz)^{b+1}}\,dt, \qquad b>0, \] acting on the Hardy spaces for $1\leq p\leq \i…
Fixed-Copy Exponent Sets and Strict Singularity of Composition Operators Between Hardy Spaces
Yecheng Shi, Songxiao Li
For a bounded operator \(T\) between Banach spaces, we introduce the \emph{fixed-copy exponent sets} \[ \begin{aligned} \operatorname{Fix}_{\ell}(T) &:= \{r\ge1:T\text{ fixes a cop…
Toeplitz operators and Carleson measure between weighted Bergman spaces induced by regular weights
Juntao Du, Songxiao Li, Hasi Wulan
In this paper, we give a universal description of the boundedness and compactness of Toeplitz operator between Bergman spaces and when …
Generalized weighted composition operators on weighted Hardy spaces
Lian Hu, Songxiao Li, Rong Yang
In this paper, we investigate the complex symmetric structure of generalized weighted composition operators on the weighted Hardy space . We obtain explicit con…