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math.FA2026
Complete mapping criteria for generalized Cesàro operators between Hardy spaces
Pengcheng Tang, Huayou Xie
Let be a finite positive Borel measure on and let . We establish sharp mapping criteria for the generalized Cesàro operator \begin{equation*} \mathcal C_{μ,γ}f(z)…
math.FA2026
Generalized Hilbert operators on Hardy spaces
Yuting Guo, Pengcheng Tang
Let , the generalized Hilbert operator is defined by \[ \mathcal H_g(f)(z)=\int_0^1 f(t)g'(tz)dt,\ \ z\in \mathbb D\, \ \ f \in H(\mathbb D). \] L…
math.FA2026
Operators of Hilbert type acting on some spaces of analytic functions
Pengcheng Tang
Let be the space of all analytic functions in the unit disc . For , the generalized Hilbert operator is defined by…