In this paper,we study the complex symmetric C_(0)-semigroups of weighted composition operators W_(ψ,φ)on the weighted Hardy spaces H_(γ) of the unit disk D.It is well-known that there are only two classes of weigh...In this paper,we study the complex symmetric C_(0)-semigroups of weighted composition operators W_(ψ,φ)on the weighted Hardy spaces H_(γ) of the unit disk D.It is well-known that there are only two classes of weighted composition conjugations A_(u,v) on H_(γ)(D):either C_(1) or C_(2).We completely characterize C_(1)-symmetric(C_(2)-symmetric)C_(0)-semigroups of weighted composition operators W_(ψ,φ) on H_(γ)(D).展开更多
Recurrent event data are commonly encountered in many scientific fields,including biomedical studies,clinical trials and epidemiological surveys,and many statistical methods have been proposed for their analysis.In th...Recurrent event data are commonly encountered in many scientific fields,including biomedical studies,clinical trials and epidemiological surveys,and many statistical methods have been proposed for their analysis.In this paper,we consider to use a weighted composite endpoint of recurrent and terminal events,which is weighted by the severity of each event,to assess the overall effects of covariates on the two types of events.A flexible additive-multiplicative model incorporating both multiplicative and additive effects on the rate function is proposed to analyze such weighted composite event process,and more importantly,the dependence structure among the recurrent and terminal events is left unspecified.For the estimation,we construct the unbiased estimating equations by virtue of the inverse probability weighting technique,and the resulting estimators are shown to be consistent and asymptotically normal under some mild regularity conditions.We evaluate the finite-sample performance of the proposed method via simulation studies and apply the proposed method to a set of real data arising from a bladder cancer study.展开更多
We characterize the boundedness and compactness of weighted composition operators among some Fock-Sobolev spaces. We also estimate the norm and essential norm of these operators. Furthermore, we discuss the duality sp...We characterize the boundedness and compactness of weighted composition operators among some Fock-Sobolev spaces. We also estimate the norm and essential norm of these operators. Furthermore, we discuss the duality spaces of FockSobolev spaces F_s^(p,m) when 0 < p < ∞.展开更多
Let BE be a bounded symmetric domain realized as the unit open ball of JB^(*)-triples.The authors will characterize the bounded weighted composition operator from the Bloch space B(BE)to weighted Hardy space Hv∞in te...Let BE be a bounded symmetric domain realized as the unit open ball of JB^(*)-triples.The authors will characterize the bounded weighted composition operator from the Bloch space B(BE)to weighted Hardy space Hv∞in terms of Kobayashi distance.The authors also give a sufficient condition for the compactness,and also give the upper bound of its essential norm.As a corollary,they show that the boundedness and compactness are equivalent for composition operator fromB(BE)to H∞(BE),when is a finite dimension JB^(*)-triple.Finally,they show the boundedness and compactness of weighted composition operators from B(BE)to Hv,0∞(BE)are equivalent when is a finite dimension JB^(*)-triple.展开更多
In this paper,we study some properties of weighted composition operators on a class of weighted Bergman spaces Ap with O<p≤∝ and φ∈Wo.Also,we completely characterize the q-Carleson measure for Ap in terms of th...In this paper,we study some properties of weighted composition operators on a class of weighted Bergman spaces Ap with O<p≤∝ and φ∈Wo.Also,we completely characterize the q-Carleson measure for Ap in terms of the averaging function and the generalized Berezin transform with 0<q<∝.As applications,the boundedness and compactness of weighted composition operators acting from one Bergman space A^(p)_(φ) to another Ag are equivalently described and the Schatten class property of the weighted composition operator acting on A^(2)_(φ) are given.Our main results are expressed in terms of certain Berezin type integral transforms.展开更多
In this paper,we study weighted composition operators on theFock space F^(2).We prove that each bounded composition operator on F^(2) is complex symmetric.This is in sharp contrast with the phenomenon on the Hardy spa...In this paper,we study weighted composition operators on theFock space F^(2).We prove that each bounded composition operator on F^(2) is complex symmetric.This is in sharp contrast with the phenomenon on the Hardy space H^(2)(D).We characterize Hermitian weighted composition operators and algebraic weighted composition operators with degree less than or equal to two on F^(2).In addition,we investigate cyclicity and hypercyclicity of complex symmetric weighted composition operators.We also characterize those weighted compositionoperators that preserveframes,tight frames or normalized tight frames on F^(2).Finally,we study mean ergodicity and uniformly mean ergodicity of weighted composition operators.展开更多
To enhance the performance of the prediction intervals (PIs), a novel very short-term probabilistic prediction method for wind speed via nonlinear quantile regression (NQR) based on adaptive least absolute shrinkage a...To enhance the performance of the prediction intervals (PIs), a novel very short-term probabilistic prediction method for wind speed via nonlinear quantile regression (NQR) based on adaptive least absolute shrinkage and selection operator (ALASSO) and integrated criterion (IC) is proposed. The ALASSO method is studied for shrinkage of output weights and selection of variables. Furthermore, for the better performance of PIs, composite weighted linear programming (CWLP) is proposed to modify the conventional linear programming cost function of quantile regression (QR), by combining it with Bayesian information criterion (BIC) as an IC to optimize the coefficients of PIs. Then, the multiple fold cross model (MFCM) is utilized to improve the PIs performance. Multistep probabilistic prediction of 15-minute wind speed is performed based on the real wind farm data from the northeast of China. The effectiveness of the proposed approach is validated through the performances' comparisons with conventional methods.展开更多
文摘In this paper,we study the complex symmetric C_(0)-semigroups of weighted composition operators W_(ψ,φ)on the weighted Hardy spaces H_(γ) of the unit disk D.It is well-known that there are only two classes of weighted composition conjugations A_(u,v) on H_(γ)(D):either C_(1) or C_(2).We completely characterize C_(1)-symmetric(C_(2)-symmetric)C_(0)-semigroups of weighted composition operators W_(ψ,φ) on H_(γ)(D).
基金the National Natural Science Foundation of China(Grant Nos.11771431,11690015,11926341,11731015,11901128 and 11601097)Key Laboratory of RCSDS,CAS(Grant No.2008DP173182)+2 种基金Natural Science Foundation of Guangdong Province of China(Grant Nos.2018A030310068,2021A1515010044)University Innovation Team Project of Guangdong Province(Grant No.2020WCXTD018)Science and Technology Program of Guangzhou,China(Grant Nos.202102020368,202102010512)。
文摘Recurrent event data are commonly encountered in many scientific fields,including biomedical studies,clinical trials and epidemiological surveys,and many statistical methods have been proposed for their analysis.In this paper,we consider to use a weighted composite endpoint of recurrent and terminal events,which is weighted by the severity of each event,to assess the overall effects of covariates on the two types of events.A flexible additive-multiplicative model incorporating both multiplicative and additive effects on the rate function is proposed to analyze such weighted composite event process,and more importantly,the dependence structure among the recurrent and terminal events is left unspecified.For the estimation,we construct the unbiased estimating equations by virtue of the inverse probability weighting technique,and the resulting estimators are shown to be consistent and asymptotically normal under some mild regularity conditions.We evaluate the finite-sample performance of the proposed method via simulation studies and apply the proposed method to a set of real data arising from a bladder cancer study.
基金The NSF(11501136,11271092)of Chinathe Key Discipline Construction Project of Subject Groups Focus on Mathematics+1 种基金Information Science in the Construction Project(4601-2015)of the High-level University of Guangdong Provincethe Project(HL02-1517)for the New Talent of Guangzhou University
文摘We characterize the boundedness and compactness of weighted composition operators among some Fock-Sobolev spaces. We also estimate the norm and essential norm of these operators. Furthermore, we discuss the duality spaces of FockSobolev spaces F_s^(p,m) when 0 < p < ∞.
基金supported by the National Natural Science Foundation of China(No.12171251)。
文摘Let BE be a bounded symmetric domain realized as the unit open ball of JB^(*)-triples.The authors will characterize the bounded weighted composition operator from the Bloch space B(BE)to weighted Hardy space Hv∞in terms of Kobayashi distance.The authors also give a sufficient condition for the compactness,and also give the upper bound of its essential norm.As a corollary,they show that the boundedness and compactness are equivalent for composition operator fromB(BE)to H∞(BE),when is a finite dimension JB^(*)-triple.Finally,they show the boundedness and compactness of weighted composition operators from B(BE)to Hv,0∞(BE)are equivalent when is a finite dimension JB^(*)-triple.
基金Supported by the National Natural Science Foundation of China (Grant Nos.12071155,11871170)the open project of Key Laboratory,School of Mathematical Sciences,Chongqing Normal University (Grant No.CSSXKFKTM202002)the Innovation Research for the Postgraduates of Guangzhou University (Grant No.2020GDJC-D08).
文摘In this paper,we study some properties of weighted composition operators on a class of weighted Bergman spaces Ap with O<p≤∝ and φ∈Wo.Also,we completely characterize the q-Carleson measure for Ap in terms of the averaging function and the generalized Berezin transform with 0<q<∝.As applications,the boundedness and compactness of weighted composition operators acting from one Bergman space A^(p)_(φ) to another Ag are equivalently described and the Schatten class property of the weighted composition operator acting on A^(2)_(φ) are given.Our main results are expressed in terms of certain Berezin type integral transforms.
基金supported by National Natural Science Foundation of China(Grant No.11771340)。
文摘In this paper,we study weighted composition operators on theFock space F^(2).We prove that each bounded composition operator on F^(2) is complex symmetric.This is in sharp contrast with the phenomenon on the Hardy space H^(2)(D).We characterize Hermitian weighted composition operators and algebraic weighted composition operators with degree less than or equal to two on F^(2).In addition,we investigate cyclicity and hypercyclicity of complex symmetric weighted composition operators.We also characterize those weighted compositionoperators that preserveframes,tight frames or normalized tight frames on F^(2).Finally,we study mean ergodicity and uniformly mean ergodicity of weighted composition operators.
基金the National Key R&D Program of China(Technology and application of wind power/photovoltaic power prediction for promoting renewable energy consumption,2018YFB0904200)eponymous Complement S&T Program of State Grid Corporation of China(SGLNDKOOKJJS1800266)。
文摘To enhance the performance of the prediction intervals (PIs), a novel very short-term probabilistic prediction method for wind speed via nonlinear quantile regression (NQR) based on adaptive least absolute shrinkage and selection operator (ALASSO) and integrated criterion (IC) is proposed. The ALASSO method is studied for shrinkage of output weights and selection of variables. Furthermore, for the better performance of PIs, composite weighted linear programming (CWLP) is proposed to modify the conventional linear programming cost function of quantile regression (QR), by combining it with Bayesian information criterion (BIC) as an IC to optimize the coefficients of PIs. Then, the multiple fold cross model (MFCM) is utilized to improve the PIs performance. Multistep probabilistic prediction of 15-minute wind speed is performed based on the real wind farm data from the northeast of China. The effectiveness of the proposed approach is validated through the performances' comparisons with conventional methods.
