用户名: 密码: 验证码:
Boundedness for commutators of fractional p-adic Hardy operators
详细信息    查看全文
  • 作者:Qing Yan Wu (1)
  • 关键词:fractional p ; adic Hardy operator ; central BMO function ; weighted homogeneous Herz space
  • 刊名:Journal of Inequalities and Applications
  • 出版年:2012
  • 出版时间:December 2012
  • 年:2012
  • 卷:2012
  • 期:1
  • 全文大小:199KB
  • 参考文献:1. Albeverio S, Karwoski W: A random walk on p -adics: the generator and its spectrum. / Stoch. Process. Appl. 1994, 53:1鈥?2. CrossRef
    2. Avetisov AV, Bikulov AH, Kozyrev SV, Osipov VA: p -adic models of ultrametric diffusion constrained by hierarchical energy landscapes. / J. Phys. A, Math. Gen. 2002, 35:177鈥?89. CrossRef
    3. Khrennikov A: / p-Adic Valued Distributions in Mathematical Physics. Kluwer, Dordrecht; 1994. CrossRef
    4. Khrennikov A: / Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models. Kluwer, Dordrecht; 1997. CrossRef
    5. Varadarajan VS: Path integrals for a class of p -adic Schr枚dinger equations. / Lett. Math. Phys. 1997, 39:97鈥?06. CrossRef
    6. Vladimirov VS, Volovich IV: p -adic quantum mechanics. / Commun. Math. Phys. 1989, 123:659鈥?76. CrossRef
    7. Vladimirov VS, Volovich IV, Zelenov EI: / p-Adic Analysis and Mathematical Physics. World Scientific, Singapore; 1992. [ / Series on Soviet and East European Mathematics I]
    8. Volovich IV: p -adic space-time and the string theory. / Theor. Math. Phys. 1987, 71:337鈥?40. CrossRef
    9. Volovich IV: p -adic string. / Class. Quantum Gravity 1987, 4:83鈥?7. CrossRef
    10. Kim YC: Carleson measures and the BMO space on the p -adic vector space. / Math. Nachr. 2009, 282:1278鈥?304. CrossRef
    11. Kim YC: Weak type estimates of square functions associated with quasiradial Bochner-Riesz means on certain Hardy spaces. / J. Math. Anal. Appl. 2008, 339:266鈥?80. CrossRef
    12. Rim KS, Lee J: Estimates of weighted Hardy-Littlewood averages on the p -adic vector space. / J. Math. Anal. Appl. 2006, 324:1470鈥?477. CrossRef
    13. Rogers KM: A van der Corput lemma for the p -adic numbers. / Proc. Am. Math. Soc. 2005, 133:3525鈥?534. CrossRef
    14. Rogers KM: Maximal averages along curves over the p -adic numbers. / Bull. Aust. Math. Soc. 2004, 70:357鈥?75. CrossRef
    15. Taibleson MH: / Fourier Analysis on Local Fields. Princeton University Press, Princeton; 1975.
    16. Hardy GH: Note on a theorem of Hilbert. / Math. Z. 1920, 6:314鈥?17. CrossRef
    17. Haran S: Riesz potentials and explicit sums in arithmetic. / Invent. Math. 1990, 101:697鈥?03. CrossRef
    18. Faris W: Weak Lebesgue spaces and quantum mechanical binding. / Duke Math. J. 1976, 43:365鈥?73. CrossRef
    19. Fu ZW, Grafakos L, Lu SZ, Zhao FY: Sharp bounds for m-linear Hardy and Hilbert operators. / Houst. J. Math. 2012, 38:225鈥?44.
    20. Long SC, Wang J: Commutators of Hardy operators. / J. Math. Anal. Appl. 2002, 274:626鈥?44. CrossRef
    21. Fu, ZW, Wu, QY, Lu, SZ: Sharp estimates for / p-adic Hardy, Hardy-Littlewood-Polya operators and commutators. Acta Math. Sin. (Engl. Ser.). PreprintFu, ZW, Wu, QY, Lu, SZ: Sharp estimates for / p-adic Hardy, Hardy-Littlewood-Polya operators and commutators. Acta Math. Sin. (Engl. Ser.). Preprint
    22. Fu ZW, Liu ZG, Lu SZ, Wang HB: Characterization for commutators of n -dimensional fractional Hardy operators. / Sci. China Ser. A 2007, 50:1418鈥?426. CrossRef
    23. Fu ZW, Lu SZ: Commutators of generalized Hardy operators. / Math. Nachr. 2009, 282:832鈥?45. CrossRef
    24. Chen YZ, Lau KS: Some new classes of Hardy spaces. / J. Funct. Anal. 1989, 84:255鈥?78. CrossRef
    25. Garcia-Cuerva J: Hardy spaces and Beurling algebras. / J. Lond. Math. Soc. 1989, 39:499鈥?13. CrossRef
    26. Lu SZ, Yang DC: The central BMO spaces and Littlewood-Paley operators. / Approx. Theory Appl. 1995, 11:72鈥?4.
    27. Zhu YP, Zheng WX: Besov spaces and Herz spaces on local fields. / Sci. China Ser. A 1998, 41:1051鈥?060. CrossRef
  • 作者单位:Qing Yan Wu (1)

    1. School of Science, Linyi University, Linyi, 276005, P.R. China
  • ISSN:1029-242X
文摘
In this paper we prove that the commutators generated by the fractional p-adic Hardy operators and the central BMO function are bounded on weighted homogeneous Herz spaces. MSC: 11E95, 11K70, 42B99.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700