We study the closed range property and the strict singularity of integration operators acting on the spaces F(p,pα-2,s).We completely characterize the closed range property of the Volterra companion operator I_(g)on ...We study the closed range property and the strict singularity of integration operators acting on the spaces F(p,pα-2,s).We completely characterize the closed range property of the Volterra companion operator I_(g)on F(p,pα-2,s),which generalizes the existing results and answers a question raised in[A.Anderson,Integral Equations Operator Theory,69(2011),no.1,87-99].For the Volterra operator J_(g),we show that,for 0<α≤1,J_(g)never has a closed range on F(p,pα-2,s).We then prove that the notions of compactness,weak compactness and strict singularity coincide in the case of J_(g)acting on F(p,p-2,s).展开更多
目的:观察电针对脑缺血大鼠前扣带皮质高迁移率族蛋白1(high mobility group protein 1,HMGB1)和磷酸化的c-Jun氨基酸末端激酶(phosphorylated c-Jun N-terminal kinase,p-JNK)的表达影响,探讨电针对脑缺血大鼠前扣带皮质的保护作用及...目的:观察电针对脑缺血大鼠前扣带皮质高迁移率族蛋白1(high mobility group protein 1,HMGB1)和磷酸化的c-Jun氨基酸末端激酶(phosphorylated c-Jun N-terminal kinase,p-JNK)的表达影响,探讨电针对脑缺血大鼠前扣带皮质的保护作用及机制。方法:将24只雄性SD大鼠随机分为假手术组、模型组、电针组和假电针组,6只/组。采用右侧大脑中动脉栓塞法制备脑缺血大鼠模型,电针组选取“百会”穴、左侧“足三里”穴进行电针刺激,1次/d,30 min/次,持续14 d;假电针组仅浅刺入两穴位皮下,接电针仪但不通电。采用Longa评分评估各组大鼠神经功能损伤情况;Nissl染色观察右侧前扣带皮质神经元的形态与分布情况;免疫组化检测右侧前扣带皮质HMGB1和p-JNK蛋白的表达情况。结果:与假手术组相比,模型组和假电针组大鼠神经功能缺损评分升高(P<0.01),右侧前扣带皮质区Nissl阳性神经元数量减少(P<0.01),HMGB1和p-JNK蛋白表达增加(P<0.01);与模型组相比,电针组大鼠在脑缺血第7天、14天时神经功能缺损评分降低(P<0.05),Nissl阳性神经元数量增加(P<0.01),HMGB1和p-JNK蛋白表达降低(P<0.01)。结论:电针可能通过抑制脑缺血后HMGB1和p-JNK的过表达,减轻前扣带皮质的损伤。展开更多
基金partially supported by the Fundamental Research Funds for the Central Universities(GK202207018)of China。
文摘We study the closed range property and the strict singularity of integration operators acting on the spaces F(p,pα-2,s).We completely characterize the closed range property of the Volterra companion operator I_(g)on F(p,pα-2,s),which generalizes the existing results and answers a question raised in[A.Anderson,Integral Equations Operator Theory,69(2011),no.1,87-99].For the Volterra operator J_(g),we show that,for 0<α≤1,J_(g)never has a closed range on F(p,pα-2,s).We then prove that the notions of compactness,weak compactness and strict singularity coincide in the case of J_(g)acting on F(p,p-2,s).
文摘目的:观察电针对脑缺血大鼠前扣带皮质高迁移率族蛋白1(high mobility group protein 1,HMGB1)和磷酸化的c-Jun氨基酸末端激酶(phosphorylated c-Jun N-terminal kinase,p-JNK)的表达影响,探讨电针对脑缺血大鼠前扣带皮质的保护作用及机制。方法:将24只雄性SD大鼠随机分为假手术组、模型组、电针组和假电针组,6只/组。采用右侧大脑中动脉栓塞法制备脑缺血大鼠模型,电针组选取“百会”穴、左侧“足三里”穴进行电针刺激,1次/d,30 min/次,持续14 d;假电针组仅浅刺入两穴位皮下,接电针仪但不通电。采用Longa评分评估各组大鼠神经功能损伤情况;Nissl染色观察右侧前扣带皮质神经元的形态与分布情况;免疫组化检测右侧前扣带皮质HMGB1和p-JNK蛋白的表达情况。结果:与假手术组相比,模型组和假电针组大鼠神经功能缺损评分升高(P<0.01),右侧前扣带皮质区Nissl阳性神经元数量减少(P<0.01),HMGB1和p-JNK蛋白表达增加(P<0.01);与模型组相比,电针组大鼠在脑缺血第7天、14天时神经功能缺损评分降低(P<0.05),Nissl阳性神经元数量增加(P<0.01),HMGB1和p-JNK蛋白表达降低(P<0.01)。结论:电针可能通过抑制脑缺血后HMGB1和p-JNK的过表达,减轻前扣带皮质的损伤。
