In this paper some characterizations of α-Bloch functions and little α-Bloch functions are gived. For 0 < α < ∞, it is shown that α-Bloch functions are contained in VMOA
In this paper some decomposition theorems for classical weighted Orlicz spaces and Bers-Orlicz spaces are established. As applications of these decomposition theorems some estimates about the growth of the Taylor coef...In this paper some decomposition theorems for classical weighted Orlicz spaces and Bers-Orlicz spaces are established. As applications of these decomposition theorems some estimates about the growth of the Taylor coefficients of the functions in Bers-Orlicz spaces are given.展开更多
In this paper the necessary and sufficient condition that a Bers-Orlicz space belongs to the space of bounded automorphic forms is given, and some inclusion relations between Bers-Orlicz spaces is studied.
In [1], Metzger proposed whether John-Nirenberg’s theorem for BMOA in the unit disk can be translated to Riemann surfaces. For the compact bordered Riemann surface R we give an affirmative answer. Also we introduce a...In [1], Metzger proposed whether John-Nirenberg’s theorem for BMOA in the unit disk can be translated to Riemann surfaces. For the compact bordered Riemann surface R we give an affirmative answer. Also we introduce a special class of Ba spaces on R and then point out a relationship between BMOA(R)and Ba(R).展开更多
文摘In this paper some characterizations of α-Bloch functions and little α-Bloch functions are gived. For 0 < α < ∞, it is shown that α-Bloch functions are contained in VMOA
文摘In this paper some decomposition theorems for classical weighted Orlicz spaces and Bers-Orlicz spaces are established. As applications of these decomposition theorems some estimates about the growth of the Taylor coefficients of the functions in Bers-Orlicz spaces are given.
文摘In this paper the necessary and sufficient condition that a Bers-Orlicz space belongs to the space of bounded automorphic forms is given, and some inclusion relations between Bers-Orlicz spaces is studied.
基金Project supported by the National Natural Science Foundation of China
文摘In [1], Metzger proposed whether John-Nirenberg’s theorem for BMOA in the unit disk can be translated to Riemann surfaces. For the compact bordered Riemann surface R we give an affirmative answer. Also we introduce a special class of Ba spaces on R and then point out a relationship between BMOA(R)and Ba(R).
