摘要
本文研究了微分方程f′2=a0(z)(f-a1(z))2f,其中a0(z),a1(z)是单位圆D内的解析函数.设f(z)是上述微分方程的解,得到了f(z)属于加权Hardy空间Hq∞(D)的一个充分条件,其中2≤q<∞,并推广了已有的结果.
The differential equation f^2 = a0（z）（f- a1（z））^2 f, where a0（z） and a1（z） are analytic functions in the unit disc D,is considered.Let f（z）be a solution of the upper differential equation,and a sufficient condition for f（z） to belong to the weighted Hardy space Hq^∞ （D）, where 0≤q 〈 w, is obtained, which extends a result that has been given.
