In this article, we use the general method of quantization by Drinfeld’s twist to quantize explicitly the Lie bialgebra structures on Lie algebras of Block type.
We introduce a class of singular integral operators on product domains along twisted surfaces.We prove that the operators are bounded on L^(p) provided that the kernels satisfy weak conditions.
Comprehensive Summary Nanofluorophores based on aggregation-induced emission(AIE)dyes have recently received considerable attention because of their unique optical properties and biocompatibility.In this work,we repor...Comprehensive Summary Nanofluorophores based on aggregation-induced emission(AIE)dyes have recently received considerable attention because of their unique optical properties and biocompatibility.In this work,we report an emission-tunable nanofluorophore constructed by the self-assembly of an amphiphilic block copolymer(denoted by PTN).The diblock copolymer was synthesized by RAFT polymerization.A polyethylene glycol-based trithiocarbonate was employed as the macromolecular chain transfer agent,and a near-infrared emitting tetraphenylethylene derivative with a vinyl terminal group was designed as the monomer.The block copolymers self-assembled in an aqueous solution to form nanospheres,which showed near-infrared emission at approximately 720 nm with a significant Stokes shift of approximately 260 nm.Furthermore,nanofluorophores have excellent biocompatibility,photostability,and pH-independent emission-tunable properties,and were successfully applied to label HeLa cells for fluorescence imaging.展开更多
基金supported by the National Science Foundation of China (10825101)"One Hundred Talents Program" from University of Science and Technology of Chinathe China Postdoctoral Science Foundation (20090450810)
文摘In this article, we use the general method of quantization by Drinfeld’s twist to quantize explicitly the Lie bialgebra structures on Lie algebras of Block type.
文摘We introduce a class of singular integral operators on product domains along twisted surfaces.We prove that the operators are bounded on L^(p) provided that the kernels satisfy weak conditions.
基金the National Natural Science Foundation of China(21674075)the Natural Science Foundation of Jiangsu Province(BK20161211)the Key University Science Research Project of Jiangsu Province(17KJA150007)。
文摘Comprehensive Summary Nanofluorophores based on aggregation-induced emission(AIE)dyes have recently received considerable attention because of their unique optical properties and biocompatibility.In this work,we report an emission-tunable nanofluorophore constructed by the self-assembly of an amphiphilic block copolymer(denoted by PTN).The diblock copolymer was synthesized by RAFT polymerization.A polyethylene glycol-based trithiocarbonate was employed as the macromolecular chain transfer agent,and a near-infrared emitting tetraphenylethylene derivative with a vinyl terminal group was designed as the monomer.The block copolymers self-assembled in an aqueous solution to form nanospheres,which showed near-infrared emission at approximately 720 nm with a significant Stokes shift of approximately 260 nm.Furthermore,nanofluorophores have excellent biocompatibility,photostability,and pH-independent emission-tunable properties,and were successfully applied to label HeLa cells for fluorescence imaging.