有界对称域上H^(p,α)空间的积分平均与系数估计

On the Integral Means and Coefficient Estimation of H^(p,α) space Over Bounded Symmetric Domains

对0<p<∞,考虑C^n中有界对称域Ω上Hardy空间Hp的子空阃H^(p,α)(0≤α≤n),它满足H^(p,α)=H~∞,H^(p,n)=H^p。文中给出了H^(p,α)函数的积分平均增长度和系数估计的一些结果,这些结果在α=n时正是H^p相应的结果。

For 0<P<∞and 0≤α≤n,the space Hp,a is defined on bounded Symmetric domains in Cn, for which Hp,0 = H∞ and Hp,a=Hp. Some results about the rate of growth of Mq(r, f) and the estimate of the coefficients for Hp,a functions are given, they coincide with that on Hp when α=n.