Pointwise finiteness of some square functions(一些平方函数的点态有限性)
通过仔细的点态估计,证明了:设N为一自然数,φ∈CN(R1),,|φ(x)| + |φN(x)| =O((1+|x|)-N-1-δ(对某-δ>0),f(x)(1+|x|)-N-1∈L1(R1),如果gφ(f)在N个点有限,则gφ(f)为a.e.-有限.这个结果大大推广并改进了一系列已知结论.
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2003-03-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/zjup/1008-9497.2003.30.2.125-127 |
| _version_ | 1797236413495771136 |
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| author | XUHan(徐罕) |
| author_facet | XUHan(徐罕) |
| author_sort | XUHan(徐罕) |
| collection | DOAJ |
| description | 通过仔细的点态估计,证明了:设N为一自然数,φ∈CN(R1),,|φ(x)| + |φN(x)| =O((1+|x|)-N-1-δ(对某-δ>0),f(x)(1+|x|)-N-1∈L1(R1),如果gφ(f)在N个点有限,则gφ(f)为a.e.-有限.这个结果大大推广并改进了一系列已知结论. |
| first_indexed | 2024-04-24T17:03:28Z |
| format | Article |
| id | doaj.art-dd75118a1c6546d7a04aec47454d4982 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T17:03:28Z |
| publishDate | 2003-03-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-dd75118a1c6546d7a04aec47454d49822024-03-29T01:58:19ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972003-03-01302125127zjup/1008-9497.2003.30.2.125-127Pointwise finiteness of some square functions(一些平方函数的点态有限性)XUHan(徐罕)0Department of Information and Computing Science, Zhejiang Institute of Science and Technology, Hangzhou 310033, China(浙江工程学院信息与计算科学系，浙江 杭州 310033)通过仔细的点态估计,证明了:设N为一自然数,φ∈CN(R1),,|φ(x)| + |φN(x)| =O((1+|x|)-N-1-δ(对某-δ>0),f(x)(1+|x|)-N-1∈L1(R1),如果gφ(f)在N个点有限,则gφ(f)为a.e.-有限.这个结果大大推广并改进了一系列已知结论.https://doi.org/zjup/1008-9497.2003.30.2.125-127g-函数面积积分函数主平方函数点态有限性 |
| spellingShingle | XUHan(徐罕) Pointwise finiteness of some square functions(一些平方函数的点态有限性) Zhejiang Daxue xuebao. Lixue ban g-函数 面积积分函数 主平方函数 点态有限性 |
| title | Pointwise finiteness of some square functions(一些平方函数的点态有限性) |
| title_full | Pointwise finiteness of some square functions(一些平方函数的点态有限性) |
| title_fullStr | Pointwise finiteness of some square functions(一些平方函数的点态有限性) |
| title_full_unstemmed | Pointwise finiteness of some square functions(一些平方函数的点态有限性) |
| title_short | Pointwise finiteness of some square functions(一些平方函数的点态有限性) |
| title_sort | pointwise finiteness of some square functions 一些平方函数的点态有限性 |
| topic | g-函数 面积积分函数 主平方函数 点态有限性 |
| url | https://doi.org/zjup/1008-9497.2003.30.2.125-127 |
| work_keys_str_mv | AT xuhanxúhǎn pointwisefinitenessofsomesquarefunctionsyīxiēpíngfānghánshùdediǎntàiyǒuxiànxìng |