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摘要: |
在欧氏度量, 双曲型度量, 伪双曲型度量下给出了上半空间和单位球上调和Bergman-Orlicz空间的刻画及调和函数差商的有界性. |
关键词: 调和Bergman-Orlicz空间, Lipschitz条件, 双曲型度量 |
DOI: |
分类号:O174.3 |
基金项目:国家自然科学基金项目(面上项目,重点项目,重大项目)(11761026; 11761027) |
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LIPSCHITZ TYPE CHARACTERIZATIONS OF HARMONIC BERGMAN-ORLICZ SPACES |
Xu Jingshi
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Abstract: |
We give characterizations for harmonic Bergman-Orlicz spaces on the upper half-space or the unit ball in terms of Lipschitz
type conditions via the Euclidean, hyperbolic, and pseudo-hyperbolic metrics. We also present the boundedness of difference quotient of harmonic functions on the upper half-space or the unit ball. |
Key words: harmonic Bergman-Orlicz space, Lipschitz condition, hyperbolic metric |