Supported by the National Natural Science Foundation of China(11871436,12071437)。
Consider a pseudo-differential operator T_(a)f(x)=∫_(R^(n))e^(ix,ζ)a(x,ζ)f(ζ)dζwhere the symbol a is in the rough Hormander class L^(∞)S_(ρ)^(m)with m∈R andρ∈[0,1].In this note,when 1≤p≤2,if n(ρ-1)/p and ...
Project supported by the National Natural Science Foundation of China(11171275);the Natural Science Foundation Project of CQ(cstc2012jjA00029);Liaocheng University Foundation(X09005)
This paper investigates the problem of almost sure limit theorem for the maximum of quasi-stationary sequence based on the result of Turkman and Walker. We prove an almost sure limit theorem for the maximum of a class...
Supported by the National Natural Science Foundation of China (11261034,11061019);the Chunhui Program of Ministry of Education of China (Z2009-1-01010);the Inner Mongolia Natural Science Foundation of China (2010MS0110)
The eigenvalue problem of a class of fourth-order Hamiltonian operators is studied. We first obtain the geometric multiplicity, the algebraic index and the algebraic multiplicity of each eigenvalue of the Hamiltonian ...
Supported by the National Natural Science Foundation of China(10901018,11001002);the Beijing Foundation Program(201010009009,2010D005002000002);the Fundamental Research Funds for the Central Universities
Let Lk= (-△)k + Vk be a SchrSdinger type operator, where k ≥1 is a positive integer and V is a nonnegative polynomial. We obtain the Lp estimates for the operators △2kLk-1 and △kLk-1/2
Supported by the National Natural Science Foundation of China (10671008);Beijing Natural Science Foundation (1092001);the Scientific Research Common Program of Beijing Municipal Commission of Education;the Scientific Research Foundation for the Returned Overseas Chinese Scholars;State Education Ministry (SRF for ROCS, SEM)
This paper addresses the aliasing error in multiresolution analysis associated with a 2× 2 dilation expression of the Fourier transform of the aliasing error optimal L^2(R^2)-norm estimation of the aliasing error. ...
Supported by the National Natural Science Foundation of China (10971224);the Hebei Natural ScienceFoundation (07M003)
In this paper, we give the definition of weak WT2-class of differential forms, and then obtain its weak reverse Holder inequality. As an application, we give an alternative proof of the higher integrability result of ...
Supported by the National Natural Science Foundation of China(70871104);the Planning Project of the National Educational Bureau of China(08JA630078);the Project of Key Research Base of Human and Social Sciences(Finance) for Colleges in Zhejiang Province(Grant No. of Academic Education of Zhejiang [2008]255)
Under the assumption that the claim size is subexponentially distributed and the insurance surplus is totally invested in risky asset, a simple asymptotic relation of tail probability of discounted aggregate claims fo...
Supported by the National Natural Science Foundation of China (10571150);the Natural Science Foundation of Jiangsu Education Committee (07KJB110131)
Let X be a Banach space, A : D(A) X → X the generator of a compact C0- semigroup S(t) : X → X, t ≥ 0, D a locally closed subset in X, and f : (a, b) × X →X a function of Caratheodory type. The main resu...
Supported by the China State Scholarship (2003833095);Department of Education of Zhejiang Province(20051495)
The regularity for a class of X-elliptic equations with lower order termLu+vu=-∑i,j=1 mXj^*(aij(x)Xiu)+vu=μis studied, where X = {X1,..., Xm} is a family of locally Lipschitz continuous vector fields, v is in...
Supported by the National Natural Science Foundation of China (70171008)
A class of estimators of the mean survival time with interval censored data are studied by unbiased transformation method. The estimators are constructed based on the observations to ensure unbiasedness in the sense t...