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101.
本文对高阶奇性常微分方程的非退化边值问题建立了非共轭性存在定理和上、下解型存在定理. 相似文献
102.
Thomas Runst 《Mathematische Nachrichten》1996,180(1):317-342
The paper deals with the extension of the singularity theory which was elaborated for Banach spaces to quasi-Banach spaces. For general quasi-Banach spaces some striking tools fail: not locally convex, the dual space may be trivial,…. Applying the concept of dual rich quasi - Banach spaces and results about Fredholm maps some results of the classical theory can be carried over. As an application we show in the continuation of this part how one can use these results for the investigation of the solution structure of semilinear elliptic boundary value problems in function Rpaces of Besov - Triebel - Lizorkin type. 相似文献
103.
104.
105.
Zbigniew J. Jurek 《Journal of multivariate analysis》1983,13(4):578-604
Let
= {Ut: t > 0} be a strongly continuous one-parameter group of operators on a Banach space X and Q be any subset of a set
(X) of all probability measures on X. By
(Q;
) we denote the class of all limit measures of {Utn(μ1 * μ2*…*μn)*δxn}, where {μn}Q, {xn}X and measures Utnμj (j=1, 2,…, n; N=1, 2,…) form an infinitesimal triangular array. We define classes Lm(
) as follows: L0(
)=
(
(X);
), Lm(
)=
(Lm−1(
);
) for m=1, 2,… and L∞(
)=m=0∞Lm(
). These classes are analogous to those defined earlier by Urbanik on the real line. Probability distributions from Lm(
), m=0, 1, 2,…, ∞, are described in terms of their characteristic functionals and their generalized Poisson exponents and Gaussian covariance operators. 相似文献
106.
This paper is concerned with large- error estimates concerning convergence in distribution as well as norm convergence for Banach space-valued martingale difference sequences. Indeed, two general limit theorems equipped with rates of convergence for such difference sequences are established. Applications of these lead to the central limit theorem and the weak law of large numbers with rates for Banach space-valued martingales. 相似文献
107.
Shuhuang Xiang 《Journal of Mathematical Analysis and Applications》2004,290(1):310-315
Let X be a uniformly smooth infinite dimensional Banach space, and (Ω,Σ,μ) be a σ-finite measure space. Suppose that T:X→L∞(Ω,Σ,μ) satisfies
(1−ε)‖x‖?‖Tx‖?‖x‖,∀x∈X, 相似文献
108.
Javad Namazi 《Journal of Mathematical Analysis and Applications》2004,290(2):553-562
Let 1<p<∞, and k,m be positive integers such that 0(k−2m)pn. Suppose ΩRn is an open set, and Δ is the Laplacian operator. We will show that there is a sequence of positive constants cj such that for every f in the Sobolev space Wk,p(Ω), for all xΩ except on a set whose Bessel capacity Bk−2m,p is zero. 相似文献
109.
Juan F. Mena-Jurado Francisco Montiel-Aguilera 《Journal of Mathematical Analysis and Applications》2004,289(1):30-34
In this note, we characterize nice operators in a class of Banach spaces, which includes spaces and L1(μ), as those operators that preserve extreme points. 相似文献
110.
Let G be a locally compact group, and let L1 (G) be the Banachalgebra which is the group algebra of G. We consider a varietyof Banach left L1 (G)-modules over L1 (G), and seek to determineconditions on G that determine when these modules are eitherprojective or injective or flat in the category. The answerstypically involve G being compact or discrete or amenable. Forexample, in the case where G is discrete and 1 < p < ,we find that the module p (G) is injective whenever G is amenable,and that, if it is amenable, then G is pseudo-amenable,a property very close to that of amenability. 2000 MathematicsSubject Classification 46H25, 43A20. 相似文献