Hasil untuk "math.FA"

Hong-Jun Liu, Sha-Sha Yan, Ling Xia et al.

Abstract In this article, we investigate the relationship between freely quasiconformal mappings and locally weakly quasisymmetric mappings in quasiconvex and complete metric spaces. We first prove the equivalence of freely quasiconformal mappings, ring properties, and locally weakly quasisymmetric mappings. Finally, we prove that the composition of two locally weakly quasisymmetric mappings in metric spaces is locally weakly quasisymmetric mapping.

Jia Le Chen, Mao Fa Wang

Niu Fa Fang, Jia Zu Zhou

Lara Riedel, Bastian Fischer, Thanh-Diep Ly et al.

AbstractDiminished microRNA-29b levels have recently been revealed to provoke increased expression and accumulation of extracellular matrix molecules, such as collagens in fibrotic remodeling. Subsequently, the aim of this study was to find out whether microRNA-29b might also regulate human xylosyltransferase (XT)-I expression. XT-I has been characterized previously as a fibrosis biomarker catalyzing the key step of proteoglycan biosynthesis. While we demonstrate that XYLT1 is neither a target of microRNA-29b identified in silico nor a direct 3′ untranslated region binding partner of microRNA-29b, transfection of normal human dermal fibroblasts with microRNA-29b inhibitor strongly increased XYLT1 mRNA expression and XT activity. Combined results of the target prediction analysis and additional transfection experiments pointed out that microRNA-29b exerts indirect influence on XT-I by targeting the transcription factor specificity protein 1 (Sp1). We could confirm our hypothesis due to the decrease in XYLT1 promoter activity after Sp1 binding site mutation and the approval of occupancy of these binding sites by Sp1 in vitro. Taken together, a hitherto unidentified pathway of XT-I regulation via microRNA-29b/Sp1 was determined in this study. Our observations will facilitate the understanding of complex molecular fibrotic pathways and provide new opportunities to investigate microRNA-based antifibrotic tools.

Huanxia Fa, Yanjie Li, Junbo Li

JIEYAN WANG, BAOHUA XIE

AbstractIn this note, we prove that the Gauss–Picard modular groupPU(2,1;Θ1) has Property (FA). Our result gives a positive answer to a question by Stover [‘Property (FA) and lattices in SU(2,1)’,Internat. J. Algebra Comput.17(2007), 1335–1347] for the groupPU(2,1;Θ1).

Shan Zhen Lu, Fa You Zhao

Fa En Wu

L HERBERG, P WINN

Chen Yan, Huang Xiao-qing, Ma You-fa

Gao Cun-fa, Herbert Balke

Mao Fa Wang, Pei De Liu

Wang Xing-feng, Wang Xing-fa

Wang Xing-fa