共查询到20条相似文献,搜索用时 31 毫秒
1.
In this paper, the authors prove that Besov-Morrey spaces are proper subspaces of Besov-type spaces and that Triebel-Lizorkin-Morrey spaces are special cases of Triebel-Lizorkin-type spaces . The authors also establish an equivalent characterization of when τ∈[0,1/p). These Besov-type spaces and Triebel-Lizorkin-type spaces were recently introduced to connect Besov spaces and Triebel-Lizorkin spaces with Q spaces. Moreover, for the spaces and , the authors investigate their trace properties and the boundedness of the pseudo-differential operators with homogeneous symbols in these spaces, which generalize the corresponding classical results of Jawerth and Grafakos-Torres by taking τ=0. 相似文献
2.
Ke-Ang Fu 《Journal of Mathematical Analysis and Applications》2009,356(1):280-287
Let be a strictly stationary sequence of positively associated random variables with mean zero and finite variance. Set , Mn=maxk?n|Sk|, n?1. Suppose . In this paper, we study the exact convergence rates of a kind of weighted infinite series of , and as ε↘0, respectively. 相似文献
3.
This paper is concerned with the well-posedness of the Navier-Stokes-Nerst-Planck-Poisson system (NSNPP). Let sp=−2+n/p. We prove that the NSNPP has a unique local solution for in a subspace, i.e., Vu1×Vv1×Vv1, of with . We also prove that there exists a unique small global solution for any small initial data with . 相似文献
4.
Tomasz Piasecki 《Journal of Mathematical Analysis and Applications》2009,357(2):447-2198
We investigate a steady flow of compressible fluid with inflow boundary condition on the density and slip boundary conditions on the velocity in a square domain Q∈R2. We show existence if a solution that is a small perturbation of a constant flow (, ). We also show that this solution is unique in a class of small perturbations of the constant flow . In order to show the existence of the solution we adapt the techniques known from the theory of weak solutions. We apply the method of elliptic regularization and a fixed point argument. 相似文献
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Yuan Li 《Journal of Mathematical Analysis and Applications》2011,382(1):172-3242
Let ?A be a normal completely positive map on B(H) with Kraus operators . Denote M the subset of normal completely positive maps by . In this note, the relations between the fixed points of ?A and are investigated. We obtain that , where K(H) is the set of all compact operators on H and is the dual of ?A∈M. In addition, we show that the map is a bijection on M. 相似文献
7.
Doyoon Kim 《Journal of Mathematical Analysis and Applications》2008,337(2):1465-1479
We present weighted Sobolev spaces along with a trace theorem and an interpolation theorem for the spaces. Then we solve nonzero boundary value problems for elliptic equations in . 相似文献
8.
Dimitar K. Dimitrov Francisco Marcellán 《Journal of Mathematical Analysis and Applications》2010,368(1):80-89
Denote by , k=1,…,n, the zeros of the Laguerre-Sobolev-type polynomials orthogonal with respect to the inner product
9.
Dikran Dikranjan Dmitri Shakhmatov 《Journal of Mathematical Analysis and Applications》2010,363(1):42-330
For an abelian topological group G, let denote the dual group of all continuous characters endowed with the compact open topology. Given a closed subset X of an infinite compact abelian group G such that w(X)<w(G), and an open neighborhood U of 0 in T, we show that . (Here, w(G) denotes the weight of G.) A subgroup D of G determines G if the map defined by r(χ)=χ?D for , is an isomorphism between and . We prove that
10.
Jamel Benameur 《Journal of Mathematical Analysis and Applications》2010,371(2):719-727
In this paper we prove some properties of the maximal solution of Navier-Stokes equations. If the maximum time is finite, we establish that the growth of is at least of the order of (see Eq. (1.4)), also we give some new blow-up results. Specific properties and standard techniques are used. 相似文献
11.
Let Ω⊂RN be an open set and F a relatively closed subset of Ω. We show that if the (N−1)-dimensional Hausdorff measure of F is finite, then the spaces and coincide, that is, F is a removable singularity for . Here is the closure of in H1(Ω) and H1(Ω) denotes the first order Sobolev space. We also give a relative capacity criterium for this removability. The space is important for defining realizations of the Laplacian with Neumann and with Robin boundary conditions. For example, if the boundary of Ω has finite (N−1)-dimensional Hausdorff measure, then our results show that we may replace Ω by the better set (which is regular in topology), i.e., Neumann boundary conditions (respectively Robin boundary conditions) on Ω and on coincide. 相似文献
12.
William Layton 《Journal of Mathematical Analysis and Applications》2010,366(1):81-89
We consider the Navier-Stokes- model, given by
13.
Emma D'Aniello 《Journal of Mathematical Analysis and Applications》2009,352(2):856-860
Consider the collection of left permutive cellular automata Φ with no memory, defined on the space S of all doubly infinite sequences from a finite alphabet. There exists , a dense subset of S, such that is topologically conjugate to an odometer for all so long as Φm is not the identity map for any m. Moreover, Φ generates the same odometer for all . The set is a dense Gδ subset with full measure of a particular subspace of S. 相似文献
14.
Stephan Ruscheweyh Luis Salinas 《Journal of Mathematical Analysis and Applications》2010,363(2):481-241
In this paper the theory of Hadamard product multipliers is extended from the unit disk in the complex plane to arbitrary so-called disk-like domains, i.e. such domains which are the union of disks or half-planes, all containing the origin. In such a domain, say Ω, we define (the class of) generalized prestarlike functions of order α?1 and ask for Hadamard multipliers g analytic at z=0 for which implies . We prove that such a multiplier necessarily has to be analytic in
15.
Constantin Tudor 《Journal of Mathematical Analysis and Applications》2009,351(1):456-468
The domain of the Wiener integral with respect to a sub-fractional Brownian motion , , k≠0, is characterized. The set is a Hilbert space which contains the class of elementary functions as a dense subset. If , any element of is a function and if , the domain is a space of distributions. 相似文献
16.
Xi Chen 《Journal of Mathematical Analysis and Applications》2010,362(2):355-635
In this paper, a class of multiple fractional type weights is defined as
17.
Let p∈(1,∞), q∈[1,∞), s∈R and . In this paper, the authors establish the φ-transform characterizations of Besov-Hausdorff spaces and Triebel-Lizorkin-Hausdorff spaces (q>1); as applications, the authors then establish their embedding properties (which on is also sharp), smooth atomic and molecular decomposition characterizations for suitable τ. Moreover, using their atomic and molecular decomposition characterizations, the authors investigate the trace properties and the boundedness of pseudo-differential operators with homogeneous symbols in and (q>1), which generalize the corresponding classical results on homogeneous Besov and Triebel-Lizorkin spaces when p∈(1,∞) and q∈[1,∞) by taking τ=0. 相似文献
18.
Vito Lampret 《Journal of Mathematical Analysis and Applications》2011,381(1):155-165
The rate of convergence of the sequence , a>0, towards the generalized Euler?s constant , where γ(1) is the Euler-Mascheroni constant, is accurately estimated using the Euler-Maclaurin summation formula. The expression
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Ryuji Kajikiya 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(7):2117-2131
In this paper, a superlinear elliptic equation whose coefficient diverges on the boundary is studied in any bounded domain Ω under the zero Dirichlet boundary condition. Although the equation has a singularity on the boundary, a solution is smooth on the closure of the domain. Indeed, it is proved that the problem has a positive solution and infinitely many solutions without positivity, which belong to or . Moreover, it is proved that a positive solution has a higher order regularity up to . 相似文献