Introduction Calixarenes are versatile host molecules for molecular recognition and supramolecular assembly because its functional groups can be readily introduced into the phenolic OH or the para position to realize...Introduction Calixarenes are versatile host molecules for molecular recognition and supramolecular assembly because its functional groups can be readily introduced into the phenolic OH or the para position to realize a wide variety of functions calixarenes-based polymers tion as these polymers can During the past decade, received increasing attenbe used to synthesize the materials that are suitable for the preparation of chemical sensor devices such as ion-selective electrodes or transport membranes.展开更多
Recently, many new features of Sobolev spaces W k,p ？RN ？ were studied in [4-6, 32]. This paper is devoted to giving a brief review of some known characterizations of Sobolev spaces in Euclidean spaces and describin...Recently, many new features of Sobolev spaces W k,p ？RN ？ were studied in [4-6, 32]. This paper is devoted to giving a brief review of some known characterizations of Sobolev spaces in Euclidean spaces and describing our recent study of new characterizations of Sobolev spaces on both Heisenberg groups and Euclidean spaces obtained in [12] and [13] and outlining their proofs. Our results extend those characterizations of first order Sobolev spaces in [32] to the Heisenberg group setting. Moreover, our theorems also provide diff erent characterizations for the second order Sobolev spaces in Euclidean spaces from those in [4, 5].展开更多
The characterization of A 5 is obtained through the method of calculation.The main result is described as the following: 1)The order of A 5 is one,two,three or five. 2)The element of A 5 is divided into...The characterization of A 5 is obtained through the method of calculation.The main result is described as the following: 1)The order of A 5 is one,two,three or five. 2)The element of A 5 is divided into five conjugate classes. 3)There are fifty and nine subgroup in A 5 and we can obtain one produce element in every subgroup. 4)There are nine conjugate classes in the subgroup of A 5 .展开更多
A new IL-supported diol, 1-（2,3-dihydroxypropyl）-3-methylimidazolium hexafluorophosphate has been synthesized and characterized by Fr-IR, ^1H NMR, ^13C NMR and MS （ESI）. Its physical properties such as freezing po...A new IL-supported diol, 1-（2,3-dihydroxypropyl）-3-methylimidazolium hexafluorophosphate has been synthesized and characterized by Fr-IR, ^1H NMR, ^13C NMR and MS （ESI）. Its physical properties such as freezing point, solubility and specific gravity and thermal stability were determined. Synthetic utilities of the resultant diol as a protecting group for aldehydes were also investigated.展开更多
This article discussed the benzoic acid activated carbons which have changed the types and content of acid oxygen-function groups on the surface of activated carbons and their effect on the adsorption for Hg^0 in simu...This article discussed the benzoic acid activated carbons which have changed the types and content of acid oxygen-function groups on the surface of activated carbons and their effect on the adsorption for Hg^0 in simulated flue gas at 140 ℃. These surface acid oxygen function groups were identified by Boehm titration, Fourier transformation infrared spectrum, temperature programmed desorption and X-ray photoelectron spectroscopy. It indicates that the carboxyl, lactone and phenolic were formed when the benzoic acid is loaded on the surface of activated carbons. Among the surface acid oxygen function groups, the carboxyl groups enhance the adsorption capacities of Hg^0 for activated carbons to a greater extent.展开更多
We consider Hardy spaces with variable exponents defined by grand maximal function on the Heisenberg group. Then we introduce some equivalent characterizations of variable Hardy spaces. By using atomic decomposition a...We consider Hardy spaces with variable exponents defined by grand maximal function on the Heisenberg group. Then we introduce some equivalent characterizations of variable Hardy spaces. By using atomic decomposition and molecular decomposition we get the boundedness of singular integral operators on variable Hardy spaces. We investigate the Littlewood-Paley characterization by virtue of the boundedness of singular integral operators.展开更多
基金the National Natural Science Foundation of China(No 29971023)
文摘Introduction Calixarenes are versatile host molecules for molecular recognition and supramolecular assembly because its functional groups can be readily introduced into the phenolic OH or the para position to realize a wide variety of functions calixarenes-based polymers tion as these polymers can During the past decade, received increasing attenbe used to synthesize the materials that are suitable for the preparation of chemical sensor devices such as ion-selective electrodes or transport membranes.
文摘Recently, many new features of Sobolev spaces W k,p ？RN ？ were studied in [4-6, 32]. This paper is devoted to giving a brief review of some known characterizations of Sobolev spaces in Euclidean spaces and describing our recent study of new characterizations of Sobolev spaces on both Heisenberg groups and Euclidean spaces obtained in [12] and [13] and outlining their proofs. Our results extend those characterizations of first order Sobolev spaces in [32] to the Heisenberg group setting. Moreover, our theorems also provide diff erent characterizations for the second order Sobolev spaces in Euclidean spaces from those in [4, 5].
文摘The characterization of A 5 is obtained through the method of calculation.The main result is described as the following: 1)The order of A 5 is one,two,three or five. 2)The element of A 5 is divided into five conjugate classes. 3)There are fifty and nine subgroup in A 5 and we can obtain one produce element in every subgroup. 4)There are nine conjugate classes in the subgroup of A 5 .
基金the National Natural Science Foundation of China(No.20533010,20673039)the Science&Technology Commission of Shanghai Municipality(No.06JC14023)for financial support.
文摘A new IL-supported diol, 1-（2,3-dihydroxypropyl）-3-methylimidazolium hexafluorophosphate has been synthesized and characterized by Fr-IR, ^1H NMR, ^13C NMR and MS （ESI）. Its physical properties such as freezing point, solubility and specific gravity and thermal stability were determined. Synthetic utilities of the resultant diol as a protecting group for aldehydes were also investigated.
文摘This article discussed the benzoic acid activated carbons which have changed the types and content of acid oxygen-function groups on the surface of activated carbons and their effect on the adsorption for Hg^0 in simulated flue gas at 140 ℃. These surface acid oxygen function groups were identified by Boehm titration, Fourier transformation infrared spectrum, temperature programmed desorption and X-ray photoelectron spectroscopy. It indicates that the carboxyl, lactone and phenolic were formed when the benzoic acid is loaded on the surface of activated carbons. Among the surface acid oxygen function groups, the carboxyl groups enhance the adsorption capacities of Hg^0 for activated carbons to a greater extent.
文摘We consider Hardy spaces with variable exponents defined by grand maximal function on the Heisenberg group. Then we introduce some equivalent characterizations of variable Hardy spaces. By using atomic decomposition and molecular decomposition we get the boundedness of singular integral operators on variable Hardy spaces. We investigate the Littlewood-Paley characterization by virtue of the boundedness of singular integral operators.
