A Derivative-Hilbert Operator Acting on the Bloch Space

The range of Hilbert operator and Derivative-Hilbert operator acting on $H^1$

“…Proof. The proof is similar to the proof of Theorem 2.1 in [18]. Suppose that µ satisfies M = [0,1) log 2 1−t dµ(t) < ∞.…”

“…He characterized measures µ for which H µ is bounded(compact) operator from H p into H q , 0 < p, q < ∞. Ye and Zhou characterized the measure µ for which I µ 2 and DH µ is bounded (resp.,compact) on Bloch space in [18]. They did the similar researches on Bergman spaces in [19].…”

“…on the space of analytic functions in D. The Derivative-Hilbert operator DH µ is first studied by Ye and Zhou [18,19], they defined DH µ as…”

Hilbert-type operators acting between weighted Fock spaces

“…During the last two decades, the Hilbert operator H and its generalizations defined on various spaces of holomorphic functions on the unit disk D in C have been much investigated. See, for example, [1][2][3][4][5][6][7][8][9][10][11][12][13], [15], [17], [18].…”

A Derivative-Hilbert operator acting on Hardy spaces

“…In 2021, Ye and Zhou [16] firstly used the Hankel matrix defined the Derivative-Hilbert operator DH µ as…”