Let f(x) be an almost spirallike mapping of type β with order α on unit ball Bof complex Banach space X. In this paper, we consider the growth and covering theoremsfor f(x), we also prove that the estimation is precise when β = 0 and still give growth upperbound and distortion upper bound for subordinate mapping. This result include some resultsknown.
In this paper, the authors study the inclusion relations between Dirichlet type spaces DΥT and α-Bloch spaces βα by means of higher radial derivative. The strictness and the best possibility of the inclusion relations are shown with constructive methods. Furthermore, they sharpen one of the results when Υ=n, which proves that a conjecture in [7] is true.
In this paper, we study the random power series of several complex variables,and give some sufficient conditions for random power series to belong to Qp and Qp,0spaces by means of their characterizations of Carleson measure. Moreover, we show that such conditions are best possible in some sense.
LI Bo & OUYANG Caiheng Department of Mathematics, State University of New York at Buffalo, Buffalo, NY 14260, USA
