The author show that if A is a complex abelian Banach algebra with an identity, then the decomposability of T∈M(A),the set of all multipliers on A, implies that the corresponding multiplication operator T: M (A)→M (...The author show that if A is a complex abelian Banach algebra with an identity, then the decomposability of T∈M(A),the set of all multipliers on A, implies that the corresponding multiplication operator T: M (A)→M (A) is decompcoable, moreover, in the Hilbert algebras case the assumation that A is abelian and A has an identity can be released. Those results are partially answers to a question raised by K. B. Laursen and M. M. Neumann [5].展开更多
New Sobolev type embeddings for some weighted Banach spaces are established. Using such embeddings and the singular positive radial entire solutions, we construct singular positive weak solutions with a prescribed sin...New Sobolev type embeddings for some weighted Banach spaces are established. Using such embeddings and the singular positive radial entire solutions, we construct singular positive weak solutions with a prescribed singular set for a weighted elliptic equation. Our main results in this paper also provide positive weak solutions with a prescribed singular set to an equation with Hardy potential.展开更多
Objective:To objectively evaluate the short-term and long-term efficacies of arthrolysis under brachial plexus anesthesia in treating adhesive capsulitis of the shoulder(ACS).Methods:One hundred patients diagnosed wit...Objective:To objectively evaluate the short-term and long-term efficacies of arthrolysis under brachial plexus anesthesia in treating adhesive capsulitis of the shoulder(ACS).Methods:One hundred patients diagnosed with ACS were divided into two groups using the random number method.The two groups both received same active rehabilitation exercises.Besides,55 cases in the treatment group were given one session of arthrolysis under brachial plexus anesthesia,and 45 cases in the control group were given tuina treatment.Changes in the visual analog scale(VAS)score,Melle score and pressure pain index were observed I month and 3 months after treatment.The therapeutic efficacies were also compared.Results:The total effective rate was 96.4%at the 1-month follow-up and 96.4%at the 3-month follow-up in the treatment group.The total effective rate was 33.3%at the 1-month follow-up and 28.9%at the 3-month follow-up in the control group.There were significant differences between the two groups comparing the total effective rate at the two time points(both P<0.05).The scores of VAS,Melle and pressure pain were significantly different at the 1-month and 3-month follow-ups from those before treatment in the treatment group(all P<0.05);the three scores did not show significant differences at the 1-month and 3-month follow-ups compared with those before treatment in the control group(all P>0.05).Conclusion:Based on the active rehabilitation exercises,one session of arthrolysis under brachial plexus anesthesia can release the adhesion and restore the range of motion and function of shoulder joint in ACS patients.It is superior to rehabilitation exercises plus tuina treatment comparing both short-term and long-term efficacies.展开更多
This paper investigates periodic boundary value problem for first order nonlinear impulsive integro-differelltial equations of mixed type in a Banach space. By establishing a comparison result, criteria on the existen...This paper investigates periodic boundary value problem for first order nonlinear impulsive integro-differelltial equations of mixed type in a Banach space. By establishing a comparison result, criteria on the existence of maximal and minimal solutions are obtained.展开更多
文摘The author show that if A is a complex abelian Banach algebra with an identity, then the decomposability of T∈M(A),the set of all multipliers on A, implies that the corresponding multiplication operator T: M (A)→M (A) is decompcoable, moreover, in the Hilbert algebras case the assumation that A is abelian and A has an identity can be released. Those results are partially answers to a question raised by K. B. Laursen and M. M. Neumann [5].
基金supported by National Natural Science Foundation of China (Grant Nos. 11171092 and 11571093)
文摘New Sobolev type embeddings for some weighted Banach spaces are established. Using such embeddings and the singular positive radial entire solutions, we construct singular positive weak solutions with a prescribed singular set for a weighted elliptic equation. Our main results in this paper also provide positive weak solutions with a prescribed singular set to an equation with Hardy potential.
文摘Objective:To objectively evaluate the short-term and long-term efficacies of arthrolysis under brachial plexus anesthesia in treating adhesive capsulitis of the shoulder(ACS).Methods:One hundred patients diagnosed with ACS were divided into two groups using the random number method.The two groups both received same active rehabilitation exercises.Besides,55 cases in the treatment group were given one session of arthrolysis under brachial plexus anesthesia,and 45 cases in the control group were given tuina treatment.Changes in the visual analog scale(VAS)score,Melle score and pressure pain index were observed I month and 3 months after treatment.The therapeutic efficacies were also compared.Results:The total effective rate was 96.4%at the 1-month follow-up and 96.4%at the 3-month follow-up in the treatment group.The total effective rate was 33.3%at the 1-month follow-up and 28.9%at the 3-month follow-up in the control group.There were significant differences between the two groups comparing the total effective rate at the two time points(both P<0.05).The scores of VAS,Melle and pressure pain were significantly different at the 1-month and 3-month follow-ups from those before treatment in the treatment group(all P<0.05);the three scores did not show significant differences at the 1-month and 3-month follow-ups compared with those before treatment in the control group(all P>0.05).Conclusion:Based on the active rehabilitation exercises,one session of arthrolysis under brachial plexus anesthesia can release the adhesion and restore the range of motion and function of shoulder joint in ACS patients.It is superior to rehabilitation exercises plus tuina treatment comparing both short-term and long-term efficacies.
文摘This paper investigates periodic boundary value problem for first order nonlinear impulsive integro-differelltial equations of mixed type in a Banach space. By establishing a comparison result, criteria on the existence of maximal and minimal solutions are obtained.
