Operators on Mixed-Norm Amalgam Spaces via Extrapolation

被引：2

作者：

Lu, Y. ^{[1
]}

Zhou, J. ^{[1
]}

Wang, S. ^{[1
]}

机构：

[1] Chongqing Three Gorges Univ, Xinjiang Univ, Chongqing, Peoples R China

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2023年 / 58卷 / 04期

基金：

中国国家自然科学基金;

关键词：

BMO(R-n); mixed-norm space; amalgam space; weak space; Littlewood-Paley function; characterize; INEQUALITIES; COMMUTATORS; BOUNDEDNESS; MODULATION; LP;

D O I：

10.3103/S1068362323040052

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let t is an element of (0,infinity), (->)p is an element of (1,infinity)(n) and (->)q is an element of [1,infinity)(n). We establish versions of the Rubio de Francia extrapolation theorem, and further obtain the bounds for some classical operators and the commutators in harmonic analysis on the mixed-norm amalgam space (L(->)p, L(->)q)t(R-n). As an application, a characterization of the mixed-norm amalgam spaces is given.

引用

页码：226 / 242

页数：17

共 40 条

[31]

SHI XL, 1992, P AM MATH SOC, V116, P665

[32] THE DEVELOPMENT OF SQUARE FUNCTIONS IN THE WORK OF ZYGMUND,A. [J].

STEIN, EM .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 7 (02) :359-376

[33] Weighted weak type (1,1) bounds for rough operators [J].

Vargas, AM .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1996, 54 :297-310

[34]

[王华 Wang Hua], 2012, [数学学报, Acta Mathematica Sinica], V55, P551

[35] Generalized Orlicz-Type Slice Spaces, Extrapolation and Applications [J].

Wang, Songbai .

ACTA MATHEMATICA SCIENTIA, 2022, 42 (05) :2001-2024

[36] On the representation of functions by trigonometrical integrals. [J].

Wiener, Norbert .

MATHEMATISCHE ZEITSCHRIFT, 1926, 24 :575-616

[37]

Wilson M., 2007, LECT NOTES MATH, V1924, DOI [10.1007/978-3-540-74587-7, DOI 10.1007/978-3-540-74587-7]

[38] Weighted estimates for the multilinear commutators of the Littlewood-Paley operators [J].

Xue QingYing ;

Ding Yong .

SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (09) :1849-1868

[39] Mixed-Norm Amalgam Spaces and Their Predual [J].

Zhang, Houkun ;

Zhou, Jiang .

SYMMETRY-BASEL, 2022, 14 (01)

[40] Real-variable characterizations of Orlicz-slice Hardy spaces [J].

Zhang, Yangyang ;

Yang, Dachun ;

Yuan, Wen ;

Wang, Songbai .

ANALYSIS AND APPLICATIONS, 2019, 17 (04) :597-664

← 1 2 3 4 →