A^p空间系数乘子的性质

Coefficient Multipliers of Bergman Space

乘子理论已经有一个很长的历史,Hardy-Littlewood结论对复分析三个经典问题用乘子语言做了解释。因此它是一个非常有趣而重要的研究领域。该文讨论了在Cn中Bergman空间中函数的系数乘子,推广了单复变Ap的性质,并将结果推广到有界对称域上,给出了有界对称域上Ap到Aq的乘子定理,还得到了Ap到Bloch空间的乘子定理。

Multiplier theory having a long history.In the language of multiplier the conclusion of Hardy-Little wood interpret three classic problems of complex analysis.So multiplier problems are of interest and important.In this paper,we characterize the coefficient multipliers on Bergman space Ap.As the corollaries,some properties of Apand coefficient multipliers from Apto Aqon the bounded symmetric domains and to Bloch space are given.