单位球上Bekolle-Bonami加权Bergman空间的原子分解
Atomic Decomposition of Bekolle-Bonami Weighted Bergman Spaces in the Unit Ball
摘要: 本文研究了单位球上的Bekolle-Bonami型加权Bergman空间上的原子分解定理。本文利用了Bekolle-Bonami型加权Bergman空间中的再生核函数给出该加权Bergman空间的原子分解定理，这推广了Luecking在文献[1]中的原子分解定理。
Abstract: On the unit ball in the dimensional complex Euclidean space, we investigate the atomic decompo-sition of the weighted Bergman spaces with Bekolle-Bonami weights. We modify the Luecking’s atomic decomposition theorem by the reproducing kernel functions.
文章引用：张晗, 仝策中. 单位球上Bekolle-Bonami加权Bergman空间的原子分解[J]. 理论数学, 2019, 9(3): 448-457. https://doi.org/10.12677/PM.2019.93060

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