EQUIVALENCY BETWEEN THE GENERALIZED CARLESON MEASURE SPACES AND TRIEBEL-LIZORKIN-TYPE SPACES

被引：3

作者：

Lin, Chin-Cheng ^{[1
]}

Wang, Kunchuan ^{[2
]}

机构：

[1] Natl Cent Univ, Dept Math, Chungli 320, Taiwan

[2] Natl Dong Hwa Univ, Dept Appl Math, Hualien 970, Taiwan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2011年 / 15卷 / 02期

关键词：

Carleson measure spaces; Triebel-Lizorkin spaces;

D O I：

10.11650/twjm/1500406241

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we show that the homogeneous Triebel-Lizorkin-type spaces F(p,q)(alpha,tau) with four parameters defined in [7, 8] is essentially same as the generalized Carleson measure space CMO(tau)(alpha,q) introduced in [6] with equivalent norms.

引用

页码：919 / 926

页数：8

共 50 条

[1] Generalized Besov-type and Triebel-Lizorkin-type spaces
Haroske, Dorothee D.
Liu, Zhen
[J]. STUDIA MATHEMATICA, 2023, 273 (02) : 161 - 199
[2] Variable Triebel-Lizorkin-Type Spaces
Drihem, Douadi
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (02) : 1817 - 1856
[3] Fourier Multipliers on Triebel-Lizorkin-Type Spaces
Yang, Dachun
Yuan, Wen
Zhuo, Ciqiang
[J]. JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2012,
[4] Localization property of generalized Besov-type spaces, Triebel-Lizorkin-type spaces and their associated multiplier spaces
Djeriou, Aissa
[J]. FILOMAT, 2024, 38 (07) : 2261 - 2275
[5] A new framework for generalized Besov-type and Triebel-Lizorkin-type spaces
Liang, Yiyu
Yang, Dachun
Yuan, Wen
Sawano, Yoshihiro
Ullrich, Tino
[J]. DISSERTATIONES MATHEMATICAE, 2013, (489) : 1 - 114
[6] Dual Properties of Triebel-Lizorkin-Type Spaces and their Applications
Yang, Dachun
Yuan, Wen
[J]. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2011, 30 (01): : 29 - 58
[7] New Besov-type spaces and Triebel-Lizorkin-type spaces including Q spaces
Yang, Dachun
Yuan, Wen
[J]. MATHEMATISCHE ZEITSCHRIFT, 2010, 265 (02) : 451 - 480
[8] Function spaces of Besov-type and Triebel-Lizorkin-type - a survey
Yang Da-chun
Yuan Wen
[J]. APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2013, 28 (04) : 405 - 426
[9] Atomic decomposition of Besov-type and Triebel-Lizorkin-type spaces
DRIHEM Douadi
[J]. Science China Mathematics, 2013, 56 (05) : 1073 - 1086
[10] Hausdorff Besov-type and Triebel-Lizorkin-type spaces and their applications
Zhuo, Ciqiang
Yang, Dachun
Yuan, Wen
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 412 (02) : 998 - 1018

← 1 2 3 4 5 →