학술저널
NOTES ON ？？-BLOCH SPACE AND Dp(¹)
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 25, No. 3
-
2012.08543 - 552 (10 pages)
- 2
In this paper, we will show that if ¹ is a Borel measure on the unit disk D such that R D d¹(z) (1¡jzj2)p？？ < 1where 0 < ？？; p < 1, then a bounded sequence of functions ffng in the ？？-Bloch space B？？ has a convergent subsequence in the space Dp(¹) of analytic functions f on D satisfying f0 2 Lp(D; ¹). Also, we will ¯nd some conditions such that RDd¹(z) (1¡jzj2)p < 1.
1. Introduction
2. Some sequence of functions in B？？ which converge in Dp(¹)
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