共查询到20条相似文献,搜索用时 169 毫秒
1.
本文应用上下解方法和L p积分模估计的方法研究了一类反应扩散方程初边值问题正解的熄灭形为,给出解熄灭的参数环境. 相似文献
2.
本文对SmaleS.的一个猜想作了推广,证明了对P>1,文[2]中的定理1没有“L p形式” 相似文献
3.
本文我们引入了函数类B δ(G//K)={φ∈L 1(G//K)||φ(t)|≤Δ -1(t)(1+t) 1-δ,δ>0),对f∈L p(G//K),1≤p≤∞,和极大算子(?),证明了这类算子是(H ∞,s1,L 1)型的. 相似文献
4.
该文研究由可变核Marcinkiewicz 积分和Lip β (R n)(0 <β≤ 1)函数生成的交换子μ Ω, b. 证明了当可变核Ω∈L ∞(R n)×L r(S n-1)(r≥1)$时, 交换子μ Ω, b从Herz型Hardy空间到Herz空间的有界性. 同时建立了参数型Marcinkiewicz 积分的交换子μ ρΩ, b在Herz型Hardy空间上的有界性. 相似文献
5.
本文研究了在险值和 Lp-空间上的连续一致风险度量之间的关系.利用凸集分离定理和截尾逼近方法,获得了在险值可以用 Lp-空间上的连续一致风险度量表示的结果,并且得到了 Lp-空间上的表示定理的一种新的证明方法.它们分别是文献[2]的相关结论从 L∞-空间到 Lp-空间上的推广和对Inoue [4]做的一些补充证明. 相似文献
6.
本文研究了两两NQD随机变量的Marcinkiewicz-Zygmund不等式及其应用的问题.利用截尾的方法,获得了两两NQD随机变量的 p阶(1 ≤ p < 2) Marcinkiewicz-Zygmund不等式结果.作为应用,获得了两两NQD随机变量的两个 Lr收敛性结果的简单证明,改进了陈平炎 [10]和Sung [20]的相应工作. 相似文献
7.
证明了一类带齐性核的奇异积分算子的多线性算子是乘积空间L p1×L p2 ×…×L pK(R n)到Hardy空间H r(R n)和弱Hardy空间H r ,∞(R n)的有界算子 .作为应用 ,获得了一类带齐性核的奇异积分算子交换子的L p(R n)有界性 . 相似文献
8.
用1.468 0 MeV 4HeD +在超薄无衬碳膜中的Coulomb爆炸,获得 4HeD +的键长实测值为(0.097±0.003)nm.讨论了 4HeD +的形成机理.介绍了 4HeD +原始束中D 3+污染的降低,及产物 4HeD ++和D +高分辨能谱测量中的粒子鉴别方法等. 相似文献
9.
文中研究了(?)-方程在拟凸域上的积分解算子的性质,得到了(?)-方程在具C k(k≥0)类边界的拟凸开集上的C p,qk+α-形式的积分算子解及其解的上确界范数估计,它包含了文[1]仅对C ∞的情形 相似文献
10.
本文给出了O h点群表象中的d 2,8(C 3v*)完全强场矩阵,并借助于这种矩阵的特征值和特征矢量,建立了CsMgX 3:Ni 2+(X=Cl,B,I)类晶体的全组态混合EPR理论。应用这一理论,对CsMgCl 3晶体中的Ni 2+杂质离子的光学吸收谱、基态零场分裂参量D、顺磁g因数、基态Zeeman分裂以及EPR条件(B,hv 0)进行了统一的计算。结果与观测非常一致,从而首次对CsMgCl 3:Ni 2+的光、磁性质作出了统一的理论解释。 相似文献
11.
The long time behavior of the solutions of some partly dissipative reaction diffusion systems is studied. We prove the existence of a compact (L^2 × L^2 - H^1 × L^2) attractor for a partly dissipative reaction diffusion system in Rn. This improves a previous result obtained by A. Rodrigues-Bernal and B. Wang concerning the existence of a compact (L^2 × L^2 - L^2 × L^2) attractor for the same system. 相似文献
12.
The aim of this article is to derive stable generalized sampling in a shift-invariant space by using some special dual frames in L2(0,1). These sampling formulas involve samples of filtered versions of the functions in the shift-invariant space. The involved samples are expressed as the frame coefficients of an appropriate function in L2(0,1) with respect to some particular frame in L2(0,1). Since any shift-invariant space with stable generator is the image of L2(0,1) by means of a bounded invertible operator, our generalized sampling is derived from some dual frame expansions in L2(0,1). 相似文献
13.
We study boundedness and compactness properties for the Weyl quantization with symbols in Lq (? 2d ) acting on Lp (? d ). This is shown to be equivalent, in suitable Banach space setting, to that of the Wigner transform. We give a short proof by interpolation of Lieb's sufficient conditions for the boundedness of the Wigner transform, proving furthermore that these conditions are also necessary. This yields a complete characterization of boundedness for Weyl operators in Lp setting; compactness follows by approximation. We extend these results defining two scales of spaces, namely L*q (? 2d ) and L?q (R 2d ), respectively smaller and larger than the Lq (? 2d ),and showing that the Weyl correspondence is bounded on L*q (R 2d ) (and yields compact operators), whereas it is not on L?q (R 2d ). We conclude with a remark on weak‐type Lp boundedness (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
14.
We study L
r
(or L
r, ∞) boundedness for bilinear translation-invariant operators with nonnegative kernels acting on functions on
\mathbb Rn{\mathbb {R}^n}. We prove that if such operators are bounded on some products of Lebesgue spaces, then their kernels must necessarily be
integrable functions on
\mathbb R2n{\mathbb R^{2n}}, while via a counterexample we show that the converse statement is not valid. We provide certain necessary and some sufficient
conditions on nonnegative kernels yielding boundedness for the corresponding operators on products of Lebesgue spaces. We
also prove that, unlike the linear case where boundedness from L
1 to L
1 and from L
1 to L
1, ∞ are equivalent properties, boundedness from L
1 × L
1 to L
1/2 and from L
1 × L
1 to L
1/2, ∞ may not be equivalent properties for bilinear translation-invariant operators with nonnegative kernels. 相似文献
15.
We study the asymptotic behaviour of the certain class of non-Newtonian incompressible fluids-power law fluids in the whole
space when the external force is zero. Assuming that initial data belong to L
1∩ L
2 we prove that L
2 decay in time is t
−1/4.
Sunto Noi studiamo il comportamento asintotico in tutto lo spazio di una classe di fluidi incomprimibili non-Newtoniani con una
legge ?fluids-power? in assenza di forze esterne. Assumendo che i dati iniziali appartengano aL
1∩L
2 noi proviamo che il decadimento nel tempo inL
2 èt
−1/4.
相似文献
16.
Wavelet and Gabor systems are based on translation-and-dilation and translation-and-modulation operators, respectively, and have been studied extensively. However, dilation-and-modulation systems cannot be derived from wavelet or Gabor systems. This study aims to investigate a class of dilation-and-modulation systems in the causal signal space L2(ℝ+). L2(ℝ+) can be identified as a subspace of L2(ℝ), which consists of all L2(ℝ)-functions supported on ℝ+ but not closed under the Fourier transform. Therefore, the Fourier transform method does not work in L2(ℝ+). Herein, we introduce the notion of Θa-transform in L2(ℝ+) and characterize the dilation-and-modulation frames and dual frames in L2(ℝ+) using the Θa-transform; and present an explicit expression of all duals with the same structure for a general dilation-and-modulation frame for L2(ℝ+). Furthermore, it has been proven that an arbitrary frame of this form is always nonredundant whenever the number of the generators is 1 and is always redundant whenever the number is greater than 1. Finally, some examples are provided to illustrate the generality of our results. 相似文献
17.
This article aims at studying two-direction refinable functions and two-direction wavelets in the setting ? s, s > 1. We give a sufficient condition for a two-direction refinable function belonging to L2(? s). Then, two theorems are given for constructing biorthogonal (orthogonal) two-direction refinable functions in L2(? s) and their biorthogonal (orthogonal) two-direction wavelets, respectively. From the constructed biorthogonal (orthogonal) two-direction wavelets, symmetric biorthogonal (orthogonal) multiwaveles in L2(? s can be obtained easily. Applying the projection method to biorthogonal (orthogonal) two-direction wavelets in L2(? s, we can get dual (tight) two-direction wavelet frames in L2(? m, where. m ≥ s From the projected dual (tight) two-direction wavelet frames in L2(? m, symmetric dual (tight) frames in L2(? m can be obtained easily. In the end, an example is given to illustrate theoretical results. 相似文献
18.
For any complex valued L
p
-function b( x), 2 ≤ p < ∞, or L
∞-function with the norm ‖ b↾ L
∞‖ < 1, the spectrum of a perturbed harmonic oscillator operator L = − d
2/ dx
2 + x
2 + b( x) in L
2(ℝ 1) is discrete and eventually simple. Its SEAF (system of eigen- and associated functions) is an unconditional basis in L
2(ℝ). 相似文献
19.
The purpose of this paper is to study the effect of numerical quadrature on the finite element approximations to the solutions of hyperbolic intego-differential equations. Both semidiscrete and fully discrete schemes are analyzed and optimal estimates are derived in L ∞( H 1) L ∞( L 2) norms and quasi-optimal estimate in L ∞( L ∞) norm using energy arguments. Further, optimal L( L 2)-estimates are shown to hold with minimal smoothness assumptions on the initial functions. The analysis in the present paper not only improves upon the earlier results of Baker and Dougalis [SIAM J. Numer. Anal. 13 (1976), pp. 577-598] but also confirms the minimum smoothness assumptions of Rauch [SIAM J. Numer. Anal. 22 (1985), pp. 245-249] for purely second order hyperbolic equation with quadrature. 相似文献
20.
Let M
e
0
be the maximal operator over segments of length 1 with directions belonging to a Cantor set. It has been conjectured that
this operator is bounded on L
2. We consider a sequence of operators over finite sets of directions converging to M
e
0
. We improve the previous estimate for the ( L
2, L
2)-norm of these particular operators. We also prove that M
e
0
is bounded from some subsets of L
2 to L
2. These subsets are composed of positive functions whose Fourier transforms have a very weak decay or are supported in a vertical
strip.
Partially supported by Spanish DGICYT grant no. PB90-0187. 相似文献
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