INTERPOLATION SPACES BETWEEN H^1 AND L~∞ ON SPACES OF HOMOGENEOUS TYPE 被引量：2

INTERPOLATION SPACES BETWEEN H^1 AND L~∞ ON SPACES OF HOMOGENEOUS TYPE

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摘要 Using the maximal function characterization of Hardy spaces, we study the interpolation spaces between H1 and L∞ on spaces of homogeneous type. Using the maximal function characterization of Hardy spaces, we study the interpolation spaces between H1 and L∞ on spaces of homogeneous type.

作者 Li Wenming (Hebei Normal University, China)

出处《Approximation Theory and Its Applications》 2002年第3期86-92,共7页 逼近论及其应用（英文版）

基金 This work be supported by Hebei Province Ph. D. fund.

关键词 MATH ON SPACES OF HOMOGENEOUS TYPE INTERPOLATION SPACES BETWEEN H~1 AND L

分类号 O177.2 [理学—基础数学]

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参考文献1

1Li Wenming Zhongshan University, China.A MAXIMAL FUNCTION CHARACTERIZATION 0F HARDY SPACES ON SPACES OF HOMOGENEOUS TYPE[J].Analysis in Theory and Applications,1998,14(2):12-27. 被引量：6

共引文献5

1Loukas GRAFAKOS.Maximal function characterizations of Hardy spaces on RD-spaces and their applications[J].Science China Mathematics,2008,51(12):2253-2284. 被引量：12
2李刚,李文明.Interpolation Spaces between L^1 and BMO on Spaces of Homogeneous Type[J].Journal of Mathematical Research and Exposition,2007,27(3):525-532.
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5Xian Jie YAN,Zi Yi HE,Da Chun YANG,Wen YUAN.Hardy Spaces Associated with Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type:Littlewood–Paley Characterizations with Applications to Boundedness of Calderón–Zygmund Operators[J].Acta Mathematica Sinica,English Series,2022,38(7):1133-1184. 被引量：1

同被引文献2

1Yongsheng Han (1) , Shanzhen Lu (2) , Dachun Yang (2).INHOMOGENEOUS BESOV AND TRIEBEL-LIZORKING SPACES ON SPACES OF HOMOGENEOUS TYPE[J].Analysis in Theory and Applications,1999,15(3):37-65. 被引量：6
2Li Wenming Zhongshan University, China.A MAXIMAL FUNCTION CHARACTERIZATION 0F HARDY SPACES ON SPACES OF HOMOGENEOUS TYPE[J].Analysis in Theory and Applications,1998,14(2):12-27. 被引量：6

引证文献2

1杨大春.Embedding theorems of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type[J].Science China Mathematics,2003,46(2):187-199. 被引量：1
2李刚,李文明.Interpolation Spaces between L^1 and BMO on Spaces of Homogeneous Type[J].Journal of Mathematical Research and Exposition,2007,27(3):525-532.

二级引证文献1

1方敬轩,赵纪满.Stratified群上的变指标齐次Besov空间和Triebel-Lizorkin空间[J].数学物理学报（A辑）,2018,38(1):34-45.

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4GAO Wen-hua,JIANG Yin-sheng,GONG Xiao-bing.Boundedness of Linear Commutators on Herz-Morrey Spaces on Spaces of Homogeneous Type[J].Chinese Quarterly Journal of Mathematics,2010,25(2):172-181. 被引量：3
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10YUAN Wen,LU Yu-feng,YANG Da-chun.Several equivalent characterizations of fractional Hajlasz-Morrey-Sobolev spaces[J].Applied Mathematics(A Journal of Chinese Universities),2016,31(3):343-354. 被引量：2

Approximation Theory and Its Applications

2002年第3期

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