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| WEIGHTED HOLOMORPHIC BESOV SPACES AND THEIR BOUNDARY VALUES | |
| 作者姓名： | V. S. Guliyev Zhijian Wu |
| 作者单位： | University of Alabama, USA |
| 摘 要： | We study weighted holomorphic Besov spaces and their boundary values. Under certain restrictions on the weighted function and parameters, we establish the equivalent norms for holomorphic functions in terms of their boundary functions. Some results about embedding and interpolation are also included. |
| 关 键 词： | BESOV空间 对等性 Lebesgue空间 Poisson核 积分函数 边值问题 |
| 收稿时间： | 2005-01-11 |
Weighted holomorphic Besov spaces and their boundary values |
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| V. S. Guliyev Zhijian Wu.WEIGHTED HOLOMORPHIC BESOV SPACES AND THEIR BOUNDARY VALUES[J].Analysis in Theory and Applications,2005,21(2):143-156. | |
| Authors: | V S Guliyev Zhijian Wu |
| Institution: | (1) Department of Mathematics, University of Alabama, 35487 Tuscaloosa, AL, USA |
| Abstract: | We study weighted holomorphic Besov spaces and their boundary values. Under certain restrictions on the weighted function and parameters, we establish the equivalent norms for holomorphic functions in terms of their boundary functions. Some results about embedding and interpolation are also included. |
| Keywords: | holomorphic Besov space weighted Lebesgue space Poisson kernel singular integral weighted Besov space VALUES BOUNDARY BESOV SPACES HOLOMORPHIC results embedding interpolation equivalent norms holomorphic functions weighted function parameters study Besov spaces boundary values |
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