A Note on the Maximal Functions on Weighted Harmonic AN Groups
In this paper, the authors point out that the methods used by Li（2004, 2005,2007） can be applied to study maximal functions on weighted harmonic AN groups.
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| Published in | Chinese annals of mathematics. Serie B Vol. 37; no. 2; pp. 193 - 198 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.03.2016
Department of Mathematics,Fudan University,Shanghai 200433,China |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0252-9599 1860-6261 |
| DOI | 10.1007/s11401-016-0960-x |
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| Abstract | In this paper, the authors point out that the methods used by Li（2004, 2005,2007） can be applied to study maximal functions on weighted harmonic AN groups. |
|---|---|
| AbstractList | In this paper, the authors point out that the methods used by Li（2004, 2005,2007） can be applied to study maximal functions on weighted harmonic AN groups. In this paper, the authors point out that the methods used by Li (2004, 2005, 2007) can be applied to study maximal functions on weighted harmonic AN groups. |
| Author | Yurong WU Shiliang ZHAO |
| AuthorAffiliation | Department of Mathematics, Fudan University, Shanghai 200433, China. |
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| Author_xml | – sequence: 1 givenname: Yurong surname: Wu fullname: Wu, Yurong email: wuyurong2003@163.com organization: Department of Mathematics, Fudan University – sequence: 2 givenname: Shiliang surname: Zhao fullname: Zhao, Shiliang organization: Department of Mathematics, Fudan University |
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| Copyright | Fudan University and Springer-Verlag Berlin Heidelberg 2016 Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| Keywords | Hardy-Littlewood maximal function 42B35 42B25 Lorentz spaces Harmonic AN groups |
| Language | English |
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| Notes | In this paper, the authors point out that the methods used by Li（2004, 2005,2007） can be applied to study maximal functions on weighted harmonic AN groups. 31-1329/O1 Hardy-Littlewood maximal function Harmonic AN groups Lorentz spaces |
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| PublicationSubtitle | Chinese Annals of Mathematics, Series B |
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| References | Lohoué (CR9) 1985; 300 Strömberg (CR14) 1981; 114 Ionescu (CR12) 2000; 152 Li (CR5) 2003; 326 Li (CR7) 2005; 229 Chen, Wang (CR2) 1993; 14 Li (CR6) 2004; 338 Anker, Damek, Yacoub (CR1) 1996; 23 Ionescu (CR11) 2000; 7 Li (CR8) 2007; 88 Clerc, Stein (CR3) 1974; 71 Lohoué (CR13) 2005; 95 Lohoué (CR10) 2007; 135 Coifman, Weiss (CR4) 1971 H. Q. Li (960_CR7) 2005; 229 N. Lohoué (960_CR10) 2007; 135 H. Q. Li (960_CR6) 2004; 338 A. D. Ionescu (960_CR12) 2000; 152 R. Coifman (960_CR4) 1971 H. Q. Li (960_CR5) 2003; 326 H. Q. Li (960_CR8) 2007; 88 J. L. Clerc (960_CR3) 1974; 71 N. Lohoué (960_CR9) 1985; 300 A. D. Ionescu (960_CR11) 2000; 7 N. Lohoué (960_CR13) 2005; 95 J. C. Chen (960_CR2) 1993; 14 J. O. Strömberg (960_CR14) 1981; 114 J. P. Anker (960_CR1) 1996; 23 |
| References_xml | – volume: 300 start-page: 213 year: 1985 end-page: 216 ident: CR9 article-title: Fonction maximale sur les variétés de Cartan-Hadamard publication-title: C. R. Math. Acad. Sci. Paris – year: 1971 ident: CR4 article-title: Analyse harmonique non commutative sur certains espaces homogènes publication-title: Lecture Notes in Mathematics – volume: 326 start-page: 625 year: 2003 end-page: 647 ident: CR5 article-title: Analyse sur les variétés cuspidales publication-title: Math. Ann. doi: 10.1007/s00208-002-0386-5 – volume: 95 start-page: 133 year: 2005 end-page: 145 ident: CR13 article-title: Minoration du volume des grosses boules sur les groupes de Lie semi-simples publication-title: J. Anal. Math. doi: 10.1007/BF02791500 – volume: 7 start-page: 83 year: 2000 end-page: 93 ident: CR11 article-title: A maximal operator and a covering lemma on non-compact symmetric spaces publication-title: Math. Res. Lett. doi: 10.4310/MRL.2000.v7.n1.a8 – volume: 229 start-page: 155 year: 2005 end-page: 183 ident: CR7 article-title: La fonction maximale non centre sur les variétés de type cuspidale publication-title: J. Funct. Anal. doi: 10.1016/j.jfa.2005.01.008 – volume: 152 start-page: 259 year: 2000 end-page: 275 ident: CR12 article-title: An endpoint estimate for the Kunze-Stein phenomenon and related maximal operators publication-title: Ann. of Math. doi: 10.2307/2661383 – volume: 23 start-page: 643 year: 1996 end-page: 679 ident: CR1 article-title: Spherical analysis on harmonic AN groups publication-title: Ann. Scuola Norm. Super. Pisa. Cl. Sci. – volume: 88 start-page: 261 year: 2007 end-page: 275 ident: CR8 article-title: Les fonctions maximales de Hardy-Littlewood pour des mesures sur les variétés cuspidales publication-title: J. Math. Pures Appl. doi: 10.1016/j.matpur.2007.06.006 – volume: 14 start-page: 69 year: 1993 end-page: 76 ident: CR2 article-title: On boundedness of Hardy-Littlewood maximal function operator on Riemannian manifolds, Chin. Ann. Math. publication-title: Ser. B – volume: 114 start-page: 115 year: 1981 end-page: 126 ident: CR14 article-title: Weak type L estimates for maximal functions on non-compact symmetric spaces publication-title: Ann. of Math. doi: 10.2307/1971380 – volume: 338 start-page: 31 issue: 1 year: 2004 end-page: 34 ident: CR6 article-title: La fonction maximale de Hardy-Littlewood sur une classe d’espaces métriques mesurables publication-title: C. R. Math. Acad. Sci. Paris doi: 10.1016/j.crma.2003.11.005 – volume: 135 start-page: 135 issue: 1 year: 2007 end-page: 169 ident: CR10 article-title: Estimations de la fonction maximale de Hardy-Littlewood publication-title: Bull. Soc. Math. France – volume: 71 start-page: 3911 year: 1974 end-page: 3912 ident: CR3 article-title: Lp-multipliers for noncompact symmetric spaces publication-title: Proc. Nat. Acad. Sci. USA doi: 10.1073/pnas.71.10.3911 – volume: 71 start-page: 3911 year: 1974 ident: 960_CR3 publication-title: Proc. Nat. Acad. Sci. USA doi: 10.1073/pnas.71.10.3911 – volume: 88 start-page: 261 year: 2007 ident: 960_CR8 publication-title: J. Math. Pures Appl. doi: 10.1016/j.matpur.2007.06.006 – volume: 326 start-page: 625 year: 2003 ident: 960_CR5 publication-title: Math. Ann. doi: 10.1007/s00208-002-0386-5 – volume: 338 start-page: 31 issue: 1 year: 2004 ident: 960_CR6 publication-title: C. R. Math. Acad. Sci. Paris doi: 10.1016/j.crma.2003.11.005 – volume: 300 start-page: 213 year: 1985 ident: 960_CR9 publication-title: C. R. Math. Acad. Sci. Paris – volume: 135 start-page: 135 issue: 1 year: 2007 ident: 960_CR10 publication-title: Bull. Soc. Math. France doi: 10.24033/bsmf.2530 – volume: 114 start-page: 115 year: 1981 ident: 960_CR14 publication-title: Ann. of Math. doi: 10.2307/1971380 – volume: 7 start-page: 83 year: 2000 ident: 960_CR11 publication-title: Math. Res. Lett. doi: 10.4310/MRL.2000.v7.n1.a8 – volume: 95 start-page: 133 year: 2005 ident: 960_CR13 publication-title: J. Anal. Math. doi: 10.1007/BF02791500 – volume: 152 start-page: 259 year: 2000 ident: 960_CR12 publication-title: Ann. of Math. doi: 10.2307/2661383 – volume-title: Lecture Notes in Mathematics year: 1971 ident: 960_CR4 – volume: 14 start-page: 69 year: 1993 ident: 960_CR2 publication-title: Ser. B – volume: 23 start-page: 643 year: 1996 ident: 960_CR1 publication-title: Ann. Scuola Norm. Super. Pisa. Cl. Sci. – volume: 229 start-page: 155 year: 2005 ident: 960_CR7 publication-title: J. Funct. Anal. doi: 10.1016/j.jfa.2005.01.008 |
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| Snippet | In this paper, the authors point out that the methods used by Li（2004, 2005,2007） can be applied to study maximal functions on weighted harmonic AN groups. In this paper, the authors point out that the methods used by Li (2004, 2005, 2007) can be applied to study maximal functions on weighted harmonic AN groups. |
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| Title | A Note on the Maximal Functions on Weighted Harmonic AN Groups |
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