2 papers
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 acting on weighted Bergman spaces are established.…
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 for $1\leq p\leq \i…