A Characterization of Some Weighted Inequalities for the Vector-valued Weighted Maximal Function
We give in this paper a necessary and sufficient condition of weighted weak and strong type norm inequalities for the vector-valued weighted maximal function.
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| Published in | Acta mathematica Sinica. English series Vol. 26; no. 11; pp. 2191 - 2198 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
01.11.2010
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1439-8516 1439-7617 |
| DOI | 10.1007/s10114-010-8009-7 |
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| Abstract | We give in this paper a necessary and sufficient condition of weighted weak and strong type norm inequalities for the vector-valued weighted maximal function. |
|---|---|
| AbstractList | We give in this paper a necessary and sufficient condition of weighted weak and strong type norm inequalities for the vector-valued weighted maximal function.[PUBLICATION ABSTRACT] We give in this paper a necessary and sufficient condition of weighted weak and strong type norm inequalities for the vector-valued weighted maximal function. |
| Author | Cui Lan WU |
| AuthorAffiliation | School of Mathematical Science, Xuzhou Normal University, Xuzhou 221116, P. R. China |
| Author_xml | – sequence: 1 givenname: Cui Lan surname: Wu fullname: Wu, Cui Lan email: w-cuilan@126.com organization: School of Mathematical Science, Xuzhou Normal University |
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| Cites_doi | 10.2307/2373450 10.4064/sm-69-1-19-31 10.1090/S0002-9947-1972-0293384-6 |
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| Copyright | Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer Berlin Heidelberg 2010 Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg 2010 |
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| DOI | 10.1007/s10114-010-8009-7 |
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| Keywords | weighted inequalities ( Hölder’s inequality 42B25 family vector-valued weighted maximal function |
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| References | Stein (CR5) 1993 Zhou (CR6) 1999 Luo (CR2) 1999; 42 Muckenhoupt (CR1) 1972; 165 Andersen, John (CR4) 1980; 69 Wu, Shu (CR3) 2003; 20 Fefferman, Stein (CR7) 1971; 93 E. M. Stein (8009_CR5) 1993 C. L. Wu (8009_CR3) 2003; 20 C. Luo (8009_CR2) 1999; 42 K. F. Andersen (8009_CR4) 1980; 69 C. Fefferman (8009_CR7) 1971; 93 B. Muckenhoupt (8009_CR1) 1972; 165 M. Q. Zhou (8009_CR6) 1999 |
| References_xml | – volume: 20 start-page: 16 issue: 1 year: 2003 end-page: 23 ident: CR3 article-title: Weak type estimate about weighted maximal operator on (ℝ , ) publication-title: Journal of Nanjing University Mathematical Biquarterly – year: 1999 ident: CR6 publication-title: Lecture of Harmonic Analysis (Real-Variable Methods) – year: 1993 ident: CR5 publication-title: Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals – volume: 165 start-page: 207 year: 1972 end-page: 226 ident: CR1 article-title: Weighted norm inequalities for the Hardy maximal function publication-title: Tran. Amer. Math. Soc. – volume: 42 start-page: 969 issue: 6 year: 1999 end-page: 974 ident: CR2 article-title: A strong type inequality about the maximal operator on (ℝ , ) and its application to the Riesz potential publication-title: Acta Mathematica Sinica, Chinese Series – volume: 69 start-page: 19 year: 1980 end-page: 31 ident: CR4 article-title: Weighted inequalities for vector-valued maximal function and singular integrals publication-title: Studia Math. – volume: 93 start-page: 107 year: 1971 end-page: 115 ident: CR7 article-title: Some maximal inequalities publication-title: Amer. J. Math. doi: 10.2307/2373450 – volume-title: Lecture of Harmonic Analysis (Real-Variable Methods) year: 1999 ident: 8009_CR6 – volume: 93 start-page: 107 year: 1971 ident: 8009_CR7 publication-title: Amer. J. Math. doi: 10.2307/2373450 – volume: 69 start-page: 19 year: 1980 ident: 8009_CR4 publication-title: Studia Math. doi: 10.4064/sm-69-1-19-31 – volume: 20 start-page: 16 issue: 1 year: 2003 ident: 8009_CR3 publication-title: Journal of Nanjing University Mathematical Biquarterly – volume: 165 start-page: 207 year: 1972 ident: 8009_CR1 publication-title: Tran. Amer. Math. Soc. doi: 10.1090/S0002-9947-1972-0293384-6 – volume: 42 start-page: 969 issue: 6 year: 1999 ident: 8009_CR2 publication-title: Acta Mathematica Sinica, Chinese Series – volume-title: Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals year: 1993 ident: 8009_CR5 |
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| Snippet | We give in this paper a necessary and sufficient condition of weighted weak and strong type norm inequalities for the vector-valued weighted maximal function. We give in this paper a necessary and sufficient condition of weighted weak and strong type norm inequalities for the vector-valued weighted maximal... |
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| SubjectTerms | Inequalities Inequality Mathematical analysis Mathematical functions Mathematics Mathematics and Statistics Norms Remakes & sequels Studies Vector space 充分必要条件 加权不等式 加权模不等式 向量值 极大函数 |
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| Title | A Characterization of Some Weighted Inequalities for the Vector-valued Weighted Maximal Function |
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