CHARACTERIZATION OF MAXIMAL OPERATORS IN ORLICZ-MORREY SPACES OF HOMOGENEOUS TYPE 被引量：3

CHARACTERIZATION OF MAXIMAL OPERATORS IN ORLICZ-MORREY SPACES OF HOMOGENEOUS TYPE

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摘要 . In this paper,the characterization of boundedness of Hardy-Littlewood maximal operators in Orlicz-Morrey spaces LΦφ（X,μ） of homogeneous type is founded. In this paper, the characterization of boundedness of Hardy-Littlewood maximal operators in Orlicz-Morrey spaces L^Фψ（X,μ） of homogeneous type is founded.

作者 Lu Qihong Tao Xiangxing

机构地区 Faculty of Science

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2006年第1期52-58,共7页 高校应用数学学报（英文版）（B辑）

基金 ThisworkisbasedupontheworkfoundedbyZhejiangProvincialNaturalScienceFoundation(102066),theNationalNaturalScienceFoundationofChina(10471069)andtheDoctoralFoundationofNingbo(2004A61003).

关键词同类空间 N函数 Orlicz-Morrey空间有界性 homogeneous type space, N-function, Orlicz-Morrey space, Hardy-Littlewood maximaloperator.

分类号 O177.3 [理学—基础数学]

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参考文献7

1Morrey Jr C B. On the solution of quasi-linear elliptic partial differential equations, Trans Amer Math Soc, 1938,43(1):126-166.
2Coifman R R,Weiss G. Analyse Harmonique Non-Commutative sur Certains Espaces Homogenes,Lecture Notes in Math, Berlln-Heidelberg-New York :Springer-Verlag, 1971,242.
3Macias R A, Segovia C. Lipschitz functions on spaces of homogeneous type, Adv in Math, 1979,33(3):257-270.
4Kokilashvili V, Krbec M. Weighted Inequalities in Lorentz and Orlicz Spaces, Singapore. World Scientific, 1991,171-209.
5Kerman R, Torehinsky A. Integral inequalities with weights for the Hardy maximal function, Studia Math, 1982,71:277-284.
6Ruiz F J, Torrea J L. Vector-valued Calderon-zygmend theory and Carleson measures on spaces of homogeneous nature, Studla Math, 1988,83,221-243.
7Ruiz F J. A unified approach to Carleson measures and Ap weights, Pacific J Math, 1985,117:397-404.

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3FIORENZA A,KRBEC M. Indices of Orlicz spaces and some applications[J]. Comment Math Univ Carolinae,1997,38(3): 433-451.
4JIA Hui-lian,LI Dong-sheng,WANG Li-he. Regularity theory in Orlicz spaces for the Poisson equation[J]. Manuscripta Mathematica,2007,122: 265-275.
5GILBARG D,TRUDINGER N. Elliptic Partial Differential Equations of Second Order[M]. Berlin/New York: Springer-Verlag,1983.
6ORLICZ W. eber eine gewisse klasse von ra¨umen vom typus B[J]. Bull Int Acad Pol,1932,8(A): 207-220.
7TAO Xiang-xing,CHEN Qin-qin. The boundedness of maximal function in Orlicz-Campanato spaces of homogeneous type[J]. Georgian Math J,2008,15(2): 377-388.
8YAO Feng-ping,JIA Hui-lian,WANG Li-he,et al. Regularity theory in Orlicz spaces for the Poisson and heat equations[J]. Comm Pure Appl Anal,2008,7: 407-416.
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10Hong Hai LIU.The Boundedness of Maximal Operators and Singular Integrals via Fourier Transform Estimates[J].Acta Mathematica Sinica,English Series,2012,28(11):2227-2242.

Applied Mathematics(A Journal of Chinese Universities)

2006年第1期

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CHARACTERIZATION OF MAXIMAL OPERATORS IN ORLICZ-MORREY SPACES OF HOMOGENEOUS TYPE 被引量：3

参考文献7

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