The Hilbert boundary value problem Re{λ（t） p√ψ＋（t）} = c（t）, t∈L of normal type with Holder continuous coefficients is discussed, where L is the unit circle ｜t｜ = 1,p ≥2 is any definite integer,ψ^＋（t）...The Hilbert boundary value problem Re{λ（t） p√ψ＋（t）} = c（t）, t∈L of normal type with Holder continuous coefficients is discussed, where L is the unit circle ｜t｜ = 1,p ≥2 is any definite integer,ψ^＋（t） is the boundary value of the unknown function ψ（z） holomorphic in ｜z｜ 〈 1 with single-valued continuous p√ψ＋（t） on L.展开更多
Abstract. Let H^n be the Heisenberg group and Q = 2n＋2 be its homogeneous dimen- sion. In this paper, we consider the Schr6dinger operator -△H^n ＋V, where △H^n is the sub-Laplacian and V is the nonnegative potenti...Abstract. Let H^n be the Heisenberg group and Q = 2n＋2 be its homogeneous dimen- sion. In this paper, we consider the Schr6dinger operator -△H^n ＋V, where △H^n is the sub-Laplacian and V is the nonnegative potential belonging to the reverse H61der class Bql for ql _〉 Q/2. We show that the operators T1 = V（-△H^n-In ＋V）-1 and T2 = V1/2（-△H^n-V）-1/2 are both bounded from 1 n HL^1（H^n ） into L1（H^n）. Our results are also valid on the stratified Lie group.展开更多
Background Previous studies showed that anti MHC-II monoclone antibody （MAb） only had partial inhibiting effect of alloreactive mixed lymphocyte reaction （MLR） in vitro and it was unsteady and non-persistent. The ...Background Previous studies showed that anti MHC-II monoclone antibody （MAb） only had partial inhibiting effect of alloreactive mixed lymphocyte reaction （MLR） in vitro and it was unsteady and non-persistent. The aim of this research was to determine whether radioactive isotope 188Re marked MHC-II antibody could benefit the allograft acceptance in transplantation as compared to normal MHC-II antibody. Methods 188Re was incorporated to 2E9/13F（ab＇）2 which is against swine MHC class II antigen （MAb-~88Re）. Porcine peripheral blood mononuclear （PBMC） cells were examined for proliferation and cytokine mRNA expression after stimulation with MHC-II MAb or MAb-188Re. Results The proliferative response of recipient PBMCs in mixed lymphocyte reaction （MLR） to donor alloantigen showed that the stimulation index of MAb-188Re group was significantly lower than the MHC-II MAb group and control （P 〈0.05）. mRNA expression of interleukin 2, interferon y and tumor necrosis factor a （type 1 cytokines） was lower in MAb-188Re group than the MHC-II MAb group, while interleukin 10 （type 2 cytokines） was higher in MAb-~aSRe group in the first 24 hours. Conclusion MAb-188Re could help the graft acceptance by inhibiting T cell proliferation, lowering the expression of type 1 cytokines and elevating the type 2 cytokines produced by PBMC.展开更多
In this paper, we study one kind of singular integral equations with singularity of order one. By the generalized Plemelj formula, this class of equations are transformed into a system of linear algebraic equations. I...In this paper, we study one kind of singular integral equations with singularity of order one. By the generalized Plemelj formula, this class of equations are transformed into a system of linear algebraic equations. In particular, we prove the existence of solution to the equation. The general solutions and the conditions of solvability are obtained in function class H.展开更多
文摘The Hilbert boundary value problem Re{λ（t） p√ψ＋（t）} = c（t）, t∈L of normal type with Holder continuous coefficients is discussed, where L is the unit circle ｜t｜ = 1,p ≥2 is any definite integer,ψ^＋（t） is the boundary value of the unknown function ψ（z） holomorphic in ｜z｜ 〈 1 with single-valued continuous p√ψ＋（t） on L.
文摘Abstract. Let H^n be the Heisenberg group and Q = 2n＋2 be its homogeneous dimen- sion. In this paper, we consider the Schr6dinger operator -△H^n ＋V, where △H^n is the sub-Laplacian and V is the nonnegative potential belonging to the reverse H61der class Bql for ql _〉 Q/2. We show that the operators T1 = V（-△H^n-In ＋V）-1 and T2 = V1/2（-△H^n-V）-1/2 are both bounded from 1 n HL^1（H^n ） into L1（H^n）. Our results are also valid on the stratified Lie group.
基金This research was supported by a grant from the National Natural Science Foundation of China （No. 30872501）.
文摘Background Previous studies showed that anti MHC-II monoclone antibody （MAb） only had partial inhibiting effect of alloreactive mixed lymphocyte reaction （MLR） in vitro and it was unsteady and non-persistent. The aim of this research was to determine whether radioactive isotope 188Re marked MHC-II antibody could benefit the allograft acceptance in transplantation as compared to normal MHC-II antibody. Methods 188Re was incorporated to 2E9/13F（ab＇）2 which is against swine MHC class II antigen （MAb-~88Re）. Porcine peripheral blood mononuclear （PBMC） cells were examined for proliferation and cytokine mRNA expression after stimulation with MHC-II MAb or MAb-188Re. Results The proliferative response of recipient PBMCs in mixed lymphocyte reaction （MLR） to donor alloantigen showed that the stimulation index of MAb-188Re group was significantly lower than the MHC-II MAb group and control （P 〈0.05）. mRNA expression of interleukin 2, interferon y and tumor necrosis factor a （type 1 cytokines） was lower in MAb-188Re group than the MHC-II MAb group, while interleukin 10 （type 2 cytokines） was higher in MAb-~aSRe group in the first 24 hours. Conclusion MAb-188Re could help the graft acceptance by inhibiting T cell proliferation, lowering the expression of type 1 cytokines and elevating the type 2 cytokines produced by PBMC.
基金Supported by the Qufu Normal University Youth Fund(XJ201218)
文摘In this paper, we study one kind of singular integral equations with singularity of order one. By the generalized Plemelj formula, this class of equations are transformed into a system of linear algebraic equations. In particular, we prove the existence of solution to the equation. The general solutions and the conditions of solvability are obtained in function class H.
