| Endpoint estimates for a class of multilinear oscillatory singular integral operators |
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| 引用本文： | LU Shanzhen,MENG Yan. Endpoint estimates for a class of multilinear oscillatory singular integral operators[J]. 自然科学进展(英文版), 2002, 12(11): 813-819 |
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| 作者姓名： | LU Shanzhen MENG Yan |
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| 作者单位： | Department of Mathematics, Beijing Normal University,Beijing 100875, China,Department of Mathematics, Beijing Normal University,Beijing 100875, China |
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| 基金项目： | Supported by the National 973 Project (Grant No.G19990751) and the SEDF of China (Grant No. 20010027002) |
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| 摘 要： | Some endpoint estimates for a class of multilinear oscillatory singular integral operators are considered and their boundedness from Hardy space H1(Rn) to Lebesgue space L1(Rn) and from Her z-type Hardy space HK?n(1-1/q),p(Rn) (or HK nq(1-1/q),p(Rn)) to Herz space K?nq(1-1/q)，p(Rn) (or Knq(1-1/q),p(Rn)) are obtained for any p∈(0,∞) and q∈(1,∞).
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| 关 键 词： | multilinear oscillatory singular integral Hardy space Herz space atom BMO |
Endpoint estimates for a class of multilinear oscillatory singular integral operators |
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| Lu Shanzhen,MENG Yan. Endpoint estimates for a class of multilinear oscillatory singular integral operators[J]. Progress in Natural Science, 2002, 12(11): 813-819 |
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| Authors: | Lu Shanzhen MENG Yan |
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| Affiliation: | Department of Mathematics, Beijing Normal University,Beijing 100875, China |
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| Abstract: | Some endpoint estimates for a class of multilinear oscillatory singular integral operators are considered and their boundedness from Hardy space H1(Rn) to Lebesgue space L1(Rn) and from Her z-type Hardy space HK·n(1-1/q),p(Rn) (or HK nq(1-1/q),p(Rn)) to Herz space K·nq(1-1/q)，p(Rn) (or Knq(1-1/q),p(Rn)) are obtained for any p∈(0,∞) and q∈(1,∞). |
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| Keywords: | multilinear oscillatory singular integral Hardy space Herz space atom BMO |
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