Songxiao Li

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math.CV2026

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 $H_{b}$ acting on weighted Bergman spaces $A_{α}^{p}$ are established.…

math.CV2026

Carleson measures, Volterra integral operators and multipliers for $Q_{K}$ spaces

Wujun Cao, Zhouyuan Jiang, Songxiao Li

We characterize the positive Borel measures $μ$ on the unit disc $D$ for which the Möbius-invariant space $Q_{K}$ embeds continuously or compactly into $L^{2} (μ)$ . The charact…

math.CV2026

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 $H^{p}$ for $1\leq p\leq \i…

math.CV2022

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 $T_{μ}^{ω}$ between Bergman spaces $A_{η}^{p}$ and $A_{υ}^{q}$ when $μ$ …

Norm of the generalized Hilbert operator on weighted Bergman spaces

Carleson measures, Volterra integral operators and multipliers for QK​ spaces

Norm of the generalized Hilbert operator on Hardy spaces

Toeplitz operators and Carleson measure between weighted Bergman spaces induced by regular weights

Carleson measures, Volterra integral operators and multipliers for $Q_{K}$ spaces