In this paper, we prove that the generalized Roper-Suffridge extension operator can be embeded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost ...In this paper, we prove that the generalized Roper-Suffridge extension operator can be embeded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost spirallike mapping of typeβ and order α, almost starlikeness of order α, spirallikeness of type ofβ and starlikeness.展开更多
Cosmological models of a scalar field with dynamical equations containing fractional derivatives or derived from the Einstein-Hilbert action of fractional order, are constructed. A number of exact solutions to those e...Cosmological models of a scalar field with dynamical equations containing fractional derivatives or derived from the Einstein-Hilbert action of fractional order, are constructed. A number of exact solutions to those equations of fractional cosmological models in both eases is given.展开更多
This publication presents an algorithm analyzing dynamic sensitive engineering structures. The measurements data which are analyzed were mostly obtained during test loading of given designs, but some examples are made...This publication presents an algorithm analyzing dynamic sensitive engineering structures. The measurements data which are analyzed were mostly obtained during test loading of given designs, but some examples are made also with simulated data. Data are decomposed in time and frequency domains. Hence, one is able to attain the rate of stress absorption of a given structure, in direct conjunction with the presented algorithm that is based upon the Hilbert transformation. Next, the information in stationary signals that represents a given structure before and after damage, is used to help determine the state of existing objects. Finally, the presented algorithm is capable of an in-depth analysis of new structures and monitoring existing ones, including those which are being exposed to continual use.展开更多
This the continuation of[8].The main purpose ofth0 paper Is to gi、 both general formof any unitary extension and unitary dilation of a contraction of Π_k associated with its trianglemodel.
In this paper, by introducing some parameters and estimating the weight coefficients, we give a new generalization of Hardy-Hilbert’s type inequality with the best constant factor. As applications, we consider its eq...In this paper, by introducing some parameters and estimating the weight coefficients, we give a new generalization of Hardy-Hilbert’s type inequality with the best constant factor. As applications, we consider its equivalent form and obtain some recent results, which are special cases of our results.展开更多
We construct a fermion analogue of the Fock representation of quantum toroidal algebra and construct the fermion representation of quantum toroidal algebra on the K-theory of Hilbert scheme.
基金Foundation item： Supported by the National Natural Science Foundation of China（10626015 10571044） Supported by the Fundamental Research of National Natural Science Foundation of Henan University（04ZDZR004）
文摘In this paper, we prove that the generalized Roper-Suffridge extension operator can be embeded in Loewner chains on the unit ball in Hibert spaces, and obtain the fact that the operator keeps the properties of almost spirallike mapping of typeβ and order α, almost starlikeness of order α, spirallikeness of type ofβ and starlikeness.
文摘Cosmological models of a scalar field with dynamical equations containing fractional derivatives or derived from the Einstein-Hilbert action of fractional order, are constructed. A number of exact solutions to those equations of fractional cosmological models in both eases is given.
文摘This publication presents an algorithm analyzing dynamic sensitive engineering structures. The measurements data which are analyzed were mostly obtained during test loading of given designs, but some examples are made also with simulated data. Data are decomposed in time and frequency domains. Hence, one is able to attain the rate of stress absorption of a given structure, in direct conjunction with the presented algorithm that is based upon the Hilbert transformation. Next, the information in stationary signals that represents a given structure before and after damage, is used to help determine the state of existing objects. Finally, the presented algorithm is capable of an in-depth analysis of new structures and monitoring existing ones, including those which are being exposed to continual use.
文摘This the continuation of[8].The main purpose ofth0 paper Is to gi、 both general formof any unitary extension and unitary dilation of a contraction of Π_k associated with its trianglemodel.
文摘In this paper, by introducing some parameters and estimating the weight coefficients, we give a new generalization of Hardy-Hilbert’s type inequality with the best constant factor. As applications, we consider its equivalent form and obtain some recent results, which are special cases of our results.
基金Supported by National Natural Science Foundation of China under Grant No.11031005Beijing Municipal Education Commission Foundation under Grant Nos.KZ201210028032 and KM201210028006
文摘We construct a fermion analogue of the Fock representation of quantum toroidal algebra and construct the fermion representation of quantum toroidal algebra on the K-theory of Hilbert scheme.
