一般Ba空间的内插定理

Acta mathematica scientia,Series A ›› 2004, Vol. 4 ›› Issue (5): 551-558.

• Articles • Previous Articles Next Articles

Interpolation Theorems of General \%Ba\% Spaces

LIU Guan-Ting, MENG Ba-Qin

Online:2004-07-20 Published:2004-07-20
Supported by:
国家自然科学基金(10171058)、内蒙古自然科学基金(200308020101)和内蒙古师

范大学青年科研基金

The interpolation properties of \$Ba\$ spaces which are constructed with Banach spaces with interpolation properties are studied and the concept of uniform embedding is introduced. Three interpolation theorems of general \$Ba\$ spaceare established, which include the previous results on some special Ba spaces.

Key words: Ba space; , Embedding; , Uniform embedding; , Interpolation space

CLC Number:

46E15

Cite this article

LIU Guan-Ting, MENG Ba-Qin. Interpolation Theorems of General \%Ba\% Spaces[J].Acta mathematica scientia,Series A, 2004, 4(5): 551-558.

share this article

0
/ / Recommend

Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks

URL: http://121.43.60.238/sxwlxbA/EN/

http://121.43.60.238/sxwlxbA/EN/Y2004/V4/I5/551

Trendmd

References

［1］Ding Xiaxi， Luo Peizhu. Ba spaces and some estimates of Laplace operator. Sys Sci, Math Sci, 1981，1(1):9-33
［2］ Chen Guangrong, Meng Boqin. Interpolation of Ba spaces. Acta Math Sci, 1988,18(1):65-70
［3］ Wu Garidi. The Jackson theorem in Ba spaces. Approx theory Appl, 1996,12(2):60-69
［4］盛宝怀. \$Ba\$空间中Kantorovich算子的饱和性. 数学杂志,1992,12(2):146-154
［5］孟伯秦. 内插空间理论及其应用．应用泛函分析学报, 2000,2(2):183-192
［6］ Liu Guanting. The Interpolation theorems of \$H\+\{Ba\}(D)\$ spaces. 应用

泛函分析学报, 2000,2(3):218-223
［7］刘官厅. \$L\+\{Ba\}\-a(D)\$空间的内插性质. 纯粹数学与应用数学, 2001, 17(2):149-153
［8］ He Yuzan. Ba spaces and Orlicz spaces． Function Spaces and Complex Analysis. In: Aulaskari R,ed. Joensuu, 1999. 37-62
［9］Bergh J, Lofstrom J. Interpolation spaces．New York: SpringerVerlag, 1976. 38-41
［10］ Gilles Pisier. Interpolation between \$H\+P\$ spaces and nonco

mmutative generalizations, I. Pacific Journal of Mathematics, 1992,155(2): 341-368

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

Comments

Recommended 10

[1]	Tang Rongrong. The Asymptotic Behavior of Solution for a Class of Nonlinear Singularly Perturbed Robin Problem[J]. Acta mathematica scientia,Series A, 2008, 28(6): 1128 -1132 .
[2]	Liu Xiaoji. On the Weighted Moore-Penrose Inverse of the Matrices[J]. Acta mathematica scientia,Series A, 2006, 26(6): 993 .
[3]	He Yiran. A New Projection Algorithm for Mixed Variational Inequalities[J]. Acta mathematica scientia,Series A, 2007, 27(2): 215 -220 .
[4]	Hong Shihuang. Nonlinear Boundary Value Problems for Differential Inclusions[J]. Acta mathematica scientia,Series A, 2007, 27(4): 711 -719 .
[5]	Yang Changsen;Yuan Jiangtao. On Class w F (p,r,q) Operators[J]. Acta mathematica scientia,Series A, 2007, 27(5): 769 -780 .
[6]	Zhang Yuntao ;Xu Senlin. The Rigidity of Clifford Torus {\boldmath S^m(\sqrt{\frac{m}{n}})\timesS^n-m(\sqrt{\frac{n-m}{n}})[J]. Acta mathematica scientia,Series A, 2008, 28(1): 128 -132 .
[7]	Chen Bin; Wang Minxing. Positive Solutions to a Three-species Predator-prey Model[J]. Acta mathematica scientia,Series A, 2008, 28(6): 1256 -1266 .
[8]	HU Di-He. An Introduction to Markov Process in Random Environment[J]. Acta mathematica scientia,Series A, 2010, 30(5): 1210 -1241 .
[9]	LIU Jing-Cheng, ZHANG Xue-Jun. The Weighted Composition Operators between Little Bloch Type Spaces on the Unit Ball of CⁿStrong Approximations of Linear Processes[J]. Acta mathematica scientia,Series A, 2010, 30(4): 894 -907 .
[10]	WANG Jin-Ping. The Singular Value Decomposition for Generalized Radon Transforms \|in R^n[J]. Acta mathematica scientia,Series A, 2004, 24(3): 293 -298 .

Abstract
References
Related Articles
Metrics
Comments
Recommended

TOP

Interpolation Theorems of General \%Ba\% Spaces

PDF (PC)

Abstract