共查询到20条相似文献,搜索用时 15 毫秒
1.
We study complex interpolation of weighted Besov and Lizorkin–Triebel spaces.The used weights w0,w1 are local Muckenhoupt weights in the sense of Rychkov.As a first step we calculate the Calder′on products of associated sequence spaces.Finally,as a corollary of these investigations,we obtain results on complex interpolation of radial subspaces of Besov and Lizorkin–Triebel spaces on Rd. 相似文献
2.
Yan Chang Han 《数学学报(英文版)》2009,25(11):1787-1804
In this paper we use the T1 theorem to prove a new characterization with minimum regularity and cancellation conditions for inhomogeneous Besov and Triebel-Lizorkin spaces over spaces of homogeneous type. These results are new even for R^n. 相似文献
3.
Min Wang Lisheng Shu Meng Qu 《分析论及其应用》2014,(2):224-235
In this paper, we will prove the boundedness of Hardy type operators Hβ(x) and H*β(x) of variable order β(x) on Herz spaces Kα(·)p(·),q and Kα(·)p(·),q' where α(·) and p(·)are both variable. 相似文献
4.
Qinggang REN 《数学年刊B辑(英文版)》2014,35(5):733-742
In this paper, the author studies the coarse embedding into uniformly convex Banach spaces. The author proves that the property of coarse embedding into Banach spaces can be preserved under taking the union of the metric spaces under certain conditions. As an application, for a group G strongly relatively hyperbolic to a subgroup H,the author proves that B(n) = {g ∈ G | |g|S∪H≤ n} admits a coarse embedding into a uniformly convex Banach space if H does. 相似文献
5.
Let U = Tri(A,M,B) be a triangular ring, where A and B are unital rings, and M is a faithful (A, B)-bimodule. It is shown that an additive map Φ on U is centralized at zero point (i.e., Φ(A)B = AΦ(B) = 0 whenever AB = 0) if and only if it is a centralizer. Let δ : U → U be an additive map. It is also shown that the following four conditions are equivalent: (1) δ is specially generalized derivable at zero point, i.e., δ(AB) = δ(A)B + Aδ(B) Aδ(I)B whenever AB = 0; (2) δ is generalized derivable at zero point, i.e., there exist additive maps τ1 and τ2 on U derivable at zero point such that δ(AB) = δ(A)B + Aτ1 (B) = τ2 (A)B + Aδ(B) whenever AB = 0; (3) δ is a special generalized derivation; (4) δ is a generalized derivation. These results are then applied to nest algebras of Banach space. 相似文献
6.
Triebe利用Littlewood Paley分解将大多数函数空间分类成两类三指标的函数空间:Besov空间和Triebel Lizorkin空间;但Littlewood Paley 分解很难直接分析Sobolev空间L^p的插值空间Lorentz空间,也很难分析Triebel Lizorkin空间F^{α,q}_1的预备对偶空间和对偶空间.运用小波,作者给出这些空间一个统一刻画:Triebel Lizorkin Lorentz 空间,Besov Lorentz空间和F^{α,q}_1的预备对偶空间和对偶空间;另外也研究这些空间的三个性质. 相似文献
7.
In this paper, We study a general class of nonlinear degenerated elliptic problems associated with the differential inclusion β(u)-div(a(x, Du)+ F(u)) ■ f in Ω, where f ∈ L1 Ω. A vector field a(·,·) is a Carath′eodory function. Using truncation techniques and the generalized monotonicity method in the functional spaces we prove the existence of renormalized solutions for general L1-data. Under an additional strict monotonicity assumption uniqueness of the renormalized solution is established. 相似文献
8.
Shen Zhou Zheng 《数学学报(英文版)》2008,24(11):1909-1924
In this paper we establish an interior regularity of weak solution for quasi-linear degenerate elliptic equations under the subcritical growth if its coefficient matrix A(x, u) satisfies a VMO condition in the variable x uniformly with respect to all u, and the lower order item B(x, u, △↓u) satisfies the subcritical growth (1.2). In particular, when F(x) ∈ L^q(Ω) and f(x) ∈ L^γ(Ω) with q,γ 〉 for any 1 〈 p 〈 +∞, we obtain interior HSlder continuity of any weak solution of (1.1) u with an index κ = min{1 - n/q, 1 - n/γ}. 相似文献
9.
For the linear finite element solution to the Poisson equation, we show that supercon- vergence exists for a type of graded meshes for corner singularities in polygonal domains. In particular, we prove that the L^2-projection from the piecewise constant field △↓UN to the continuous and piecewise linear finite element space gives a better approximation of △↓U in the Hi-norm. In contrast to the existing superconvergence results, we do not assume high regularity of the exact solution. 相似文献
10.
杨占英 《数学物理学报(B辑英文版)》2010,(4):1338-1346
In this article, the author introduces a class of non-convolution Calder′on-Zygmund operators whose kernels are certain sums involving the products of Meyer wavelets and their convolutions. The boundedness on Besov spaces ■p0 ,q(1 ≤p,q ≤∞) is also obtained. Moreover, as an application, the author gives a brief proof of the known result that Hrmander condition can ensure the boundedness of convolution-type Calder′on-Zygmund operators on Besov spaces ■p0 ,q(1 ≤p,q ≤∞). However, the proof is quite different from the previous one. 相似文献
11.
In this paper we prove local well-posedness in critical Besov spaces for the full compressible MHD equations in R^N, N≥ 2, under the assumptions that the initialdensity is bounded away from zero. The proof relies on uniform estimates for a mixed hyperbolic/parabolic linear system with a convection term. 相似文献
12.
Bao-quan Yuan 《应用数学学报(英文版)》2010,26(3):381-386
With a Hǒlder type inequality in Besov spaces, we show that every strong solution θ(t, x) on (0, T ) of the dissipative quasi-geostrophic equations can be continued beyond T provided that ⊥θ(t, x) ∈L 2γ/γ-2δ ((0, T ); B^δ-γ/2 ∞∞(R^2)) for 0 〈 δ 〈 γ/2 . 相似文献
13.
QIN XI-MEI XIE RU-LONG 《东北数学》2009,(5):461-471
In this paper, weighted endpoint boundedness of multilinear θ-type Calderon-Zygmund operator is obtained. 相似文献
14.
Let u be a weak solution of (-△)mu = f with Dirichlet boundary conditions in a smooth bounded domain Ω C Rn. Then, the main goal of this paper is to prove the following a priori estimate:||u||w2m/ω·p(Ω)≤C||f||L^pω(Ω),where ω is a weight in the Muckenhoupt class Ap. 相似文献
15.
本文研究了算子的插值问题.利用Riesz-Thorin定理的证明方法,并运用Daubechies小波得到了Besov空间上的线性算子的插值定理. 相似文献
16.
Lorenzo Brandolese 《Proceedings of the American Mathematical Society》2005,133(11):3345-3353
We give a new characterization of a family of homogeneous Besov spaces by means of atomic decompositions involving poorly localized building blocks. Our main tool is an algorithm for expanding a wavelet into a series of dilated and translated Poisson kernels.
17.
18.
Abstract
With Littlewood–Paley analysis, Peetre and Triebel
classified, systematically, almost all the usual function spaces
into two classes of spaces: Besov spaces
and Triebel–Lizorkin
spaces
; but the structure of
dual spaces
of
is very different from
that of Besov spaces or that of Triebel–Lizorkin spaces, and
their structure cannot be analysed easily in the
Littlewood–Paley analysis. Our main goal is to characterize
in tent spaces with
wavelets. By the way, some applications are given: (i)
Triebel–Lizorkin spaces for p
= ∞ defined by Littlewood–Paley analysis cannot serve as the dual
spaces of Triebel–Lizorkin spaces for p = 1; (ii) Some inclusion relations
among these above spaces and some relations among
and
L
1
are studied.
Supported by NNSF of China (Grant No.
10001027) 相似文献
19.
Peng Wang 《Mathematical Methods in the Applied Sciences》2015,38(3):580-588
In this paper, we develop a continuation principle for general hyperbolic singular limit problems in more general Besov spaces, which covers the cases of usual Sobolev spaces with higher regularity in and the critical Besov space. As an application, we give a simple justification for the low Mach number limit of compressible magnetohydrodynamics equations. More precisely, for the Mach number sufficiently small, the smooth compressible flows exist on the (finite) time interval where the incompressible magnetohydrodynamics equations have smooth solutions, and the definite convergence orders are also obtained. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献
20.
In this paper, we study the boundedness of higher order commutators of gen- eralized fractional integral operators on weighted Lp spaces and Herz-type Hardy spaces. 相似文献