| BOUNDEDNESS OF FRACTIONAL INTEGRALS IN HARDY SPACES WITH NON-DOUBLING MEASURE - In Memory of Professor Sun Yongsheng |
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| 引用本文： | Wengu Chen Yixin Lai. BOUNDEDNESS OF FRACTIONAL INTEGRALS IN HARDY SPACES WITH NON-DOUBLING MEASURE - In Memory of Professor Sun Yongsheng[J]. 分析论及其应用, 2006, 22(2): 195-200. DOI: 10.1007/BF03218712 |
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| 作者姓名： | Wengu Chen Yixin Lai |
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| 作者单位： | [1]Institute of Applied Physics and Computational Mathematics, China [2]Qingdao University, China |
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| 基金项目： | 国家高技术研究发展计划(863计划) |
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| 摘 要： | Let μ be a Borel measure on Rd which may be non doubling. The only condition that μ must satisfy is μ(Q) ≤ col(Q)n for any cube Q () Rd with sides parallel to the coordinate axes and for some fixed n with 0 ＜ n ≤ d. The purpose of this paper is to obtain a boundedness property of fractional integrals in Hardy spaces H1 (μ).
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| 关 键 词： | 分形积分 哈代空间 非加倍测量 有界性 |
| 收稿时间： | 2005-01-28 |
Boundedness of fractional integrals in Hardy spaces with non-doubling measure |
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| Wengu G. Chen,Yixin X. Lai. Boundedness of fractional integrals in Hardy spaces with non-doubling measure[J]. Analysis in Theory and Applications, 2006, 22(2): 195-200. DOI: 10.1007/BF03218712 |
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| Authors: | Wengu G. Chen Yixin X. Lai |
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| Affiliation: | 1. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, 100088, Beijing, P.C. China
2. Department of Mathematics, 266071, Quingdo, College of Teachers Qingdao University, P. C. China
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| Abstract: | Let μ be a Borel measure on ? d which may be non doubling. The only condition that μ must satisfy is μ(Q)≤c0l(Q)n for any cubeQ ? ? d with sides parallel to the coordinate axes and for some fixed n with 0 < n ≤d. The purpose of this paper is to obtain a boundedness property of fractional integrals in Hardy spaces H1(μ). |
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| Keywords: | fractional integral Hardy space non-doubling measure MEASURE HARDY SPACES INTEGRALS FRACTIONAL BOUNDEDNESS purpose paper boundedness property fractional integrals Hardy spaces sides parallel coordinate fixed cube condition Borel measure |
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