For analytic functions u,ψin the unit disk D in the complex plane and an analytic self-mapφof D,we describe in this paper the boundedness and compactness of product type operators T_(u,ψ,φ)f(z)=u(z)f(φ(z))+ψ(z)f...For analytic functions u,ψin the unit disk D in the complex plane and an analytic self-mapφof D,we describe in this paper the boundedness and compactness of product type operators T_(u,ψ,φ)f(z)=u(z)f(φ(z))+ψ(z)f'(φ(z)),z∈D,acting between weighted Bergman spaces induced by a doubling weight and a Bloch type space with a radial weight.展开更多
Background Traditional lecture-based teaching(TLT)has long been the primary method of teaching plastic suturing techniques and even surgical education.It has been challenging to adapt this approach to fit the educatio...Background Traditional lecture-based teaching(TLT)has long been the primary method of teaching plastic suturing techniques and even surgical education.It has been challenging to adapt this approach to fit the educational objectives of plastic surgery,which is a very practical science.Additionally,it is mainly teacher-led,and the course content is teacher-driven,which has disadvantages such as difficulty in motivating students and disconnection from clinical practice.Therefore,we developed a video point-to-point teaching(VPT)method and teamwork-based teaching(TBT)to study the effect of the new teaching model on fine cosmetic suturing operation(FCSO)and training outcomes for plastic surgeons.Methods We selected 30 junior doctors from the Department of Plastic and Reconstructive Surgery of the Chinese PLA General Hospital.All trainees were randomly assigned to three groups:TLT,VPT,and TBT.All trainees had their performances photographed,and a senior attending physician was appointed as a rater.We rated the process and results of FCSO according to a uniform rubric following the double-blind principle to compare the effects of different teaching modes on the trainees’FCSO and differences in training outcomes.Results There was no significant effect of video recording on trainees’FCSO(P>0.05).The total scores of the first suturing in the three groups were as follows:TLT group(13.18±1.66),VPT group(13.63±1.97),and TBT group(13.50±2.26),with no significant difference among the groups(P>0.05),indicating that the starting level of the trainees in the three groups was basically the same.There was no significant difference(P>0.05)between the VPT(20.30±2.17)and TBT(20.38±2.29)groups,but both of these groups were significantly better than the TLT group(16.43±1.86,P<0.01).Conclusion The TBT and VPT methods are significantly better than TLT.However,the TBT method is more economical and optimal for teachers and better utilizes students’initiative in learning and operation,which improves the teaching level and training efficiency.展开更多
We give some characterizations of Carleson measures for Dirichlet type spaces by using Hadamard products.We also give a one-box condition for such Carleson measures.
In this paper,we give a universal description of the boundedness and compactness of Toeplitz operator T_(μ)^(ω)between Bergman spaces A_(η)^(p)and A_(υ)^(q)whenμis a positive Borel measure,1<p,q<∞andω,η,...In this paper,we give a universal description of the boundedness and compactness of Toeplitz operator T_(μ)^(ω)between Bergman spaces A_(η)^(p)and A_(υ)^(q)whenμis a positive Borel measure,1<p,q<∞andω,η,υare regular weights.By using Khinchin’s inequality and Kahane’s inequality,we get a new characterization of the Carleson measure for Bergman spaces induced by regular weights.展开更多
Suppose that φ is an analytic self-map of the unit disk Δ. We consider compactness of the composition operator Cφ from the Bloch space B into the spaces QK defined by a nonnegative, nondecreasing function K（r） f...Suppose that φ is an analytic self-map of the unit disk Δ. We consider compactness of the composition operator Cφ from the Bloch space B into the spaces QK defined by a nonnegative, nondecreasing function K（r） for 0 ≤ r 〈 Cφ. Our compactness condition depends only on Φ which can be considered as a slight improvement of the known results. The compactness of Cφ from the Dirichlet space D into the spaces QK is also investigated,展开更多
We give a new and simple compactness condition for composition operators on BMOA,the space of all analytic functions of the bounded mean oscillation on the unit disk.Using our results one may immediately obtain that c...We give a new and simple compactness condition for composition operators on BMOA,the space of all analytic functions of the bounded mean oscillation on the unit disk.Using our results one may immediately obtain that compactness of a composition operator on BMOA implies its compactness on the Bloch space as well as on the Hardy space.Similar results on VMOA are also given.展开更多
文摘For analytic functions u,ψin the unit disk D in the complex plane and an analytic self-mapφof D,we describe in this paper the boundedness and compactness of product type operators T_(u,ψ,φ)f(z)=u(z)f(φ(z))+ψ(z)f'(φ(z)),z∈D,acting between weighted Bergman spaces induced by a doubling weight and a Bloch type space with a radial weight.
文摘Background Traditional lecture-based teaching(TLT)has long been the primary method of teaching plastic suturing techniques and even surgical education.It has been challenging to adapt this approach to fit the educational objectives of plastic surgery,which is a very practical science.Additionally,it is mainly teacher-led,and the course content is teacher-driven,which has disadvantages such as difficulty in motivating students and disconnection from clinical practice.Therefore,we developed a video point-to-point teaching(VPT)method and teamwork-based teaching(TBT)to study the effect of the new teaching model on fine cosmetic suturing operation(FCSO)and training outcomes for plastic surgeons.Methods We selected 30 junior doctors from the Department of Plastic and Reconstructive Surgery of the Chinese PLA General Hospital.All trainees were randomly assigned to three groups:TLT,VPT,and TBT.All trainees had their performances photographed,and a senior attending physician was appointed as a rater.We rated the process and results of FCSO according to a uniform rubric following the double-blind principle to compare the effects of different teaching modes on the trainees’FCSO and differences in training outcomes.Results There was no significant effect of video recording on trainees’FCSO(P>0.05).The total scores of the first suturing in the three groups were as follows:TLT group(13.18±1.66),VPT group(13.63±1.97),and TBT group(13.50±2.26),with no significant difference among the groups(P>0.05),indicating that the starting level of the trainees in the three groups was basically the same.There was no significant difference(P>0.05)between the VPT(20.30±2.17)and TBT(20.38±2.29)groups,but both of these groups were significantly better than the TLT group(16.43±1.86,P<0.01).Conclusion The TBT and VPT methods are significantly better than TLT.However,the TBT method is more economical and optimal for teachers and better utilizes students’initiative in learning and operation,which improves the teaching level and training efficiency.
基金The research was supported by NSFC(11720101003 and 11801347)key projects of fundamental research in universities of Guangdong Province(2018KZDXM034).
文摘This article traces several prominent trends in the development of Mobius invariant function spaces Q_(K)with emphasis on theoretic aspects.
基金supported by the China National Natural Science Foundation(11720101003)。
文摘We give some characterizations of Carleson measures for Dirichlet type spaces by using Hadamard products.We also give a one-box condition for such Carleson measures.
基金supported by NNSF of China(Grant No.12271328)Guangdong Basic and Applied Basic Research Foundation(Grant No.2022A1515012117)+1 种基金Projects of Talents Recruitment of GDUPT(Grant No.2022rcyj2008)supported by STU Scientific Research Initiation Grant(Grant No.NTF23004)。
文摘In this paper,we give a universal description of the boundedness and compactness of Toeplitz operator T_(μ)^(ω)between Bergman spaces A_(η)^(p)and A_(υ)^(q)whenμis a positive Borel measure,1<p,q<∞andω,η,υare regular weights.By using Khinchin’s inequality and Kahane’s inequality,we get a new characterization of the Carleson measure for Bergman spaces induced by regular weights.
基金the National Natural Science Foundation of China (No.10371069) and the NSF of Guangdong Province of China (No.04011000)
文摘Suppose that φ is an analytic self-map of the unit disk Δ. We consider compactness of the composition operator Cφ from the Bloch space B into the spaces QK defined by a nonnegative, nondecreasing function K（r） for 0 ≤ r 〈 Cφ. Our compactness condition depends only on Φ which can be considered as a slight improvement of the known results. The compactness of Cφ from the Dirichlet space D into the spaces QK is also investigated,
基金This work was partially supported by the Research Foundation for Doctor Programme(Grant No.20060560002)the National Natural Science Foundation of China(Grant No.10671115)
文摘We give a new and simple compactness condition for composition operators on BMOA,the space of all analytic functions of the bounded mean oscillation on the unit disk.Using our results one may immediately obtain that compactness of a composition operator on BMOA implies its compactness on the Bloch space as well as on the Hardy space.Similar results on VMOA are also given.
