Pointwise multipliers from Dirichlet type spaces D-tau to Q(p) spaces in the unit ball of C-n

摘要

In this paper, the pointwise multipliers M(D-tau, Q(p)) and M(D-tau, Q(p,0)) are characterized in the unit ball of C-n for the values of tau, p in the three cases: (i) tau < n, n-1 < p <= 1, (ii) tau = n, n-1 < p <= 1, and (iii) tau > n, n-1 < p <= 1. In particular, the multiplier spaces M (D-tau, BMOA) and M (D-tau, VMOA) are discussed correspondingly for all tau, and the sharp embeddings of M(D-n, BMOA) and M(D-n, VMOA) in alpha-Bloch spaces are shown, respectively. (C) 2007 Elsevier Inc. All rights reserved.