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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.…
Hilbert matrix norms on weighted Bergman spaces: even exponents and a counterexample to the beta formula
Hasi Wulan, Mengmeng Zhou, Jian-Feng Zhu
Let be the weighted Bergman space on the unit disk, where . For , consider the Hilbert matrix operator $\mathcal{H}f(z)=\sum…
The norm of the Hilbert matrix operator on Bergman spaces
Guanlong Bao, Liu Tian, Hasi Wulan
Karapetrović conjectured that the norm of the Hilbert matrix operator on the Bergman space is equal to when . In this paper, we provide a proof…
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 …
Carleson measures and the range of a Cesàro-like operator acting on
Guanlong Bao, Fangmei Sun, Hasi Wulan
In this paper, by describing characterizations of Carleson type measures on , we determine the range of a Cesàro-like operator acting on . A special case of our re…
Double integral estimates for Besov type spaces and their applications
Guanlong Bao, Juntao Du, Hasi Wulan
For , we give a complete description of nonnegative radial weight functions on the open unit disk such that $$ \int_{\mathbb{D}} |f'(z)|^p (1-|z|^2)^{p…