共查询到20条相似文献,搜索用时 93 毫秒
1.
Let H?1 be a selfadjoint operator in H, let J be a linear and bounded operator from (D(H1/2),∥H1/2·∥) to Haux and for β>0 let be the nonnegative selfadjoint operator in H satisfying
2.
Let −Dω(·,z)D+q be a differential operator in L2(0,∞) whose leading coefficient contains the eigenvalue parameter z. For the case that ω(·,z) has the particular form
3.
Andrea Posilicano 《Journal of Functional Analysis》2005,223(2):259-310
Given, on the Hilbert space H0, the self-adjoint operator B and the skew-adjoint operators C1 and C2, we consider, on the Hilbert space H?D(B)⊕H0, the skew-adjoint operator
4.
Xiangling Zhu 《Applied mathematics and computation》2010,215(12):4340-4972
Let H(D) denote the class of all analytic functions on the open unit disk D of C. Let φ be an analytic self-map of D and u∈H(D). The weighted composition operator is defined by
5.
Stevo Stevi? 《Applied mathematics and computation》2010,216(1):187-10194
Let D be a bounded symmetric domain, H(D) the class of all holomorphic functions on D and u∈H(D). Operator norm of the multiplication operator on the weighted Bergman space , as well as of weighted composition operator from to a weighted-type space are calculated. 相似文献
6.
Let (E,D(E)) be a strongly local, quasi-regular symmetric Dirichlet form on L2(E;m) and ((Xt)t?0,(Px)x∈E) the diffusion process associated with (E,D(E)). For u∈De(E), u has a quasi-continuous version and has Fukushima's decomposition: , where is the martingale part and is the zero energy part. In this paper, we study the strong continuity of the generalized Feynman-Kac semigroup defined by , t?0. Two necessary and sufficient conditions for to be strongly continuous are obtained by considering the quadratic form (Qu,Db(E)), where Qu(f,f):=E(f,f)+E(u,f2) for f∈Db(E), and the energy measure μ〈u〉 of u, respectively. An example is also given to show that is strongly continuous when μ〈u〉 is not a measure of the Kato class but of the Hardy class with the constant (cf. Definition 4.5). 相似文献
7.
8.
Quoc-Phong Vu 《Journal of Mathematical Analysis and Applications》2007,334(1):487-501
We study properties of solutions of the evolution equation , where B is a closable operator on the space AP(R,H) of almost periodic functions with values in a Hilbert space H such that B commutes with translations. The operator B generates a family of closed operators on H such that (whenever eiλtx∈D(B)). For a closed subset Λ⊂R, we prove that the following properties (i) and (ii) are equivalent: (i) for every function f∈AP(R,H) such that σ(f)⊆Λ, there exists a unique mild solution u∈AP(R,H) of Eq. (∗) such that σ(u)⊆Λ; (ii) is invertible for all λ∈Λ and . 相似文献
9.
If x is a vertex of a digraph D, then we denote by d+(x) and d−(x) the outdegree and the indegree of x, respectively. The global irregularity of a digraph D is defined by
10.
Titus W. Hilberdink 《Journal of Number Theory》2007,122(2):336-341
In this paper we study generalized prime systems for which the integer counting function NP(x) is asymptotically well-behaved, in the sense that NP(x)=ρx+O(xβ), where ρ is a positive constant and . For such systems, the associated zeta function ζP(s) has finite order for , and the Lindelöf function μP(σ) may be defined. We prove that for all such systems, μP(σ)?μ0(σ) for σ>β, where
11.
12.
Jian-Lin Li 《Journal of Functional Analysis》2009,257(2):537-951
The self-affine measure μM,D associated with an affine iterated function system {?d(x)=M−1(x+d)}d∈D is uniquely determined. The problems of determining the spectrality or non-spectrality of a measure μM,D have been received much attention in recent years. One of the non-spectral problem on μM,D is to estimate the number of orthogonal exponentials in L2(μM,D) and to find them. In the present paper we show that for an expanding integer matrix M∈M2(Z) and the three-elements digit set D given by
13.
Monica Ilie 《Journal of Functional Analysis》2004,213(1):88-110
Let G be a locally compact group and let B(G) be the dual space of C∗(G), the group C∗ algebra of G. The Fourier algebra A(G) is the closed ideal of B(G) generated by elements with compact support. The Fourier algebras have a natural operator space structure as preduals of von Neumann algebras. Given a completely bounded algebra homomorphism we show that it can be described, in terms of a piecewise affine map with Y in the coset ring of H, as follows
14.
Let E a real reflexive Banach space which admits a weakly sequentially continuous duality mapping from E to E∗, and K be a closed convex subset of E which is also a sunny nonexpansive retract of E, and be nonexpansive mappings satisfying the weakly inward condition and F(T)≠∅, and be a fixed contractive mapping. The implicit iterative sequence {xt} is defined by for t∈(0,1)
xt=P(tf(xt)+(1−t)Txt). 相似文献
15.
Janusz Matkowski 《Journal of Mathematical Analysis and Applications》2009,359(1):56-576
Let I,J⊂R be intervals. One of the main results says that if a superposition operator H generated by a two place ,
H(φ)(x):=h(x,φ(x)), 相似文献
16.
Peter Sjögren 《Journal of Functional Analysis》2006,237(2):675-688
Let γ be the Gaussian measure in Rd and Ht, t>0, the corresponding Ornstein-Uhlenbeck semigroup, whose infinitesimal generator is . For each p with 1<p<∞, let Ep⊂C be the closure of the region of holomorphy of the map t?Ht taking values in the space of bounded operators on Lp(γ). We examine the maximal operator . The known results about concern mainly the case p<2. We prove that for p>2 this operator is of weak type but not of strong type (p,p) for γ. However, if a neighbourhood of the origin is deleted from Ep in the definition of , the resulting operator is shown to be of strong type. 相似文献
17.
Steven D. Taliaferro 《Journal of Differential Equations》2011,250(2):892-928
We study classical nonnegative solutions u(x,t) of the semilinear parabolic inequalities
18.
Dian K. Palagachev 《Journal of Mathematical Analysis and Applications》2009,359(1):159-1730
We derive global Hölder regularity for the -weak solutions to the quasilinear, uniformly elliptic equation
div(aij(x,u)Dju+ai(x,u))+a(x,u,Du)=0 相似文献
19.
20.
In this paper we investigate discrete spectrum of the non-selfadjoint matrix Sturm-Liouville operator L generated in L2(R+,S) by the differential expression