解析Besov型空间

Analytic Besov-type Spaces

摘要: 运用基本复分析技巧获得了Bp(ρ)型空间的函数在单位圆周上的积分特征，其中权函数ρ是增函数；运用Hardy空间中函数可以表示成一个内函数和外函数的结论，证明了Bp(ρ)型空间的函数可分解为两个有界解析函数的商.所得的研究结果进一步完善了Besov型空间的理论

Abstract: Applying the fundamental complex analysis technique, the characterization of integral on the unit circle of Bp(ρ) spaces was obtained, where the weighted function ρ is nondecreasing. It was proved that every function in the space Bp(ρ) is the quotient of two bounded analytic functions on the unit disc. The results developed the theory of Besov-type spaces