The QK(p)-Teichmüller space is introduced and studied in this paper.Various characterizations of the QK(p)-Teichmüller space and the QK,0(p)-Teichmüller space are given.Their Schwarzian derivative model...The QK(p)-Teichmüller space is introduced and studied in this paper.Various characterizations of the QK(p)-Teichmüller space and the QK,0(p)-Teichmüller space are given.Their Schwarzian derivative model and pre-logarithmic derivative model are also discussed.展开更多
The author gives a mild integral condition in a nondecreasing function K : [0, ∞) → [0, ∞), which is sufficient and the best possible to ensure that f is a Bloch function if and only if f belongs to QK, a Mbius-inv...The author gives a mild integral condition in a nondecreasing function K : [0, ∞) → [0, ∞), which is sufficient and the best possible to ensure that f is a Bloch function if and only if f belongs to QK, a Mbius-invariant space of functions analytic in the unit disk. Their contributions are slight improvements of known results, and the proofs presented here are independently developed. The corresponding results for meromorphic case are also given.展开更多
Suppose that φ is an analytic self-map of the unit disk Δ. We consider compactness of the composition operator Cφ from the Bloch space B into the spaces QK defined by a nonnegative, nondecreasing function K（r） f...Suppose that φ is an analytic self-map of the unit disk Δ. We consider compactness of the composition operator Cφ from the Bloch space B into the spaces QK defined by a nonnegative, nondecreasing function K（r） for 0 ≤ r 〈 Cφ. Our compactness condition depends only on Φ which can be considered as a slight improvement of the known results. The compactness of Cφ from the Dirichlet space D into the spaces QK is also investigated,展开更多
基金supported by the National Natural Science Foundation of China(12271017)supported by the Natural Science Foundation of Shandong Province(ZR2022MA018)by the National Natural Science Foundation of China(12171221)。
文摘The QK(p)-Teichmüller space is introduced and studied in this paper.Various characterizations of the QK(p)-Teichmüller space and the QK,0(p)-Teichmüller space are given.Their Schwarzian derivative model and pre-logarithmic derivative model are also discussed.
基金Supported by NSF of China (10671115)RFDP of China (20060560002)NSF of Guangdong Province of China (06105648)
文摘The author gives a mild integral condition in a nondecreasing function K : [0, ∞) → [0, ∞), which is sufficient and the best possible to ensure that f is a Bloch function if and only if f belongs to QK, a Mbius-invariant space of functions analytic in the unit disk. Their contributions are slight improvements of known results, and the proofs presented here are independently developed. The corresponding results for meromorphic case are also given.
基金the National Natural Science Foundation of China (No.10371069) and the NSF of Guangdong Province of China (No.04011000)
文摘Suppose that φ is an analytic self-map of the unit disk Δ. We consider compactness of the composition operator Cφ from the Bloch space B into the spaces QK defined by a nonnegative, nondecreasing function K（r） for 0 ≤ r 〈 Cφ. Our compactness condition depends only on Φ which can be considered as a slight improvement of the known results. The compactness of Cφ from the Dirichlet space D into the spaces QK is also investigated,
