| 摘要: |
| 本文研究了QK空间的插值问题.利用复分析和调和分析的方法,获得了单位圆盘上的一个序列{zn}是QK∩H∞空间的插值序列的一个充分必要条件,推广了Qp空间的部分结果. |
| 关键词: QK空间 K-Carleson 测度 插值 |
| DOI： |
| 分类号:O174.5 |
| 基金项目:Supported by NSF of China (11071153); the department of education of Anhui Province of China (KJ2013A101); the department of education of Inner Mongolia (NJZY14305). |
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| INTERPOLATING SEQUENCES IN QK SPACES |
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ZHOU Ji-zhen1, HAN Jin-Zhuang2
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1.School of Sciences, Anhui University of Science and Technology, Huainan 232001, China;2.School of Mathematics, Hulunbeier University, Hulunbeier 021008, China
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| Abstract: |
| In this paper, we investigate the interpolating question in QK spaces. Using some skills of complex analysis and harmonic analysis, we obtain a necessary and sufficient condition for a sequence {zn} in the unit disc to be an interpolating sequence for the analytic function space QK∩H∞, which extends part of results in Qp spaces. |
| Key words: QK spaces K-Carleson measure interpolation |
