共查询到20条相似文献,搜索用时 15 毫秒
1.
Let w be a Muckenhoupt weight and Hwp (JRn) be the weighted Hardy space. In this paper, by using the atomic decomposition of Hwp(Rn), we will show that the Bochner-Riesz operators TRδ are bounded from Hwp(Rn) to the weighted weak Hardy spaces WHwp (Rn) for 0 〈 p 〈 1 and δ = n/p- (n + 1)/2. This result is new even in the unweighted case. 相似文献
2.
After studying in a previous work the smoothness of the space UΓ0={u∈W1,p(·)(Ω);u=0 on Γ0 Γ=Ω},where dΓ-measΓ0>0,with p(·)∈C(Ω)and p(x)>1 for all x∈Ω,the authors study in this paper the strict and uniform convexity as well as some special properties of duality mappings defined on the same space.The results obtained in this direction are used for proving existence results for operator equations having the form Ju=Nfu,where J is a duality mapping on UΓ0 corresponding to the gauge function,and Nf is the Nemytskij operator generated by a Carath′eodory function f satisfying an appropriate growth condition ensuring that Nf may be viewed as acting from UΓ0 into its dual. 相似文献
3.
Uncertainty Principles for the Generalized Fourier Transform Associated with Spherical Mean Operator
The aim of this paper is to establish an extension of qualitative and quantitative uncertainty principles for the Fourier transform connected with the spherical mean operator. 相似文献
4.
In this paper, it is proved that the commutator Hβ,b which is generated by the n-dimensional fractional Hardy operator Hβ and b ∈λα (R^n) is bounded from L^p(R^n) to L^q(R^n), where 0 〈 α 〈 1, 1 〈 p, q 〈 ∞ and 1/P - 1/q = (α+β)/n. Furthermore, the boundedness of Hβ,b on the homogenous Herz space Kq^α,p(R^n) is obtained. 相似文献
5.
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
6.
In this paper, the λ-central BMO estimates for higher order commuta-tors of Hardy operators on central Morrey space Lq,λ(Rn) are established. In the meanwhile, the corresponding corollary for central BMO estimates is also obtained. 相似文献
7.
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
8.
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
9.
Ushahgi Goginava 《逼近论及其应用》2010,(4):320-325
The main aim of this paper is to prove that the maximal operator σ# is not bounded from the martingale Hardy space Hp (G) to the martingale Hardy space Hp (G) for 0〈p≤1. 相似文献
10.
Rovshan A. Bandaliev 《Czechoslovak Mathematical Journal》2013,63(4):1149-1152
In this paper the author proved the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with variable exponent. As an application he proved the boundedness of certain sublinear operators on the weighted variable Lebesgue space. The proof of the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent does not contain any mistakes. But in the proof of the boundedness of certain sublinear operators on the weighted variable Lebesgue space Georgian colleagues discovered a small but significant error in my paper, which was published as R.A.Bandaliev, The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces, Czech. Math. J. 60 (2010), 327–337. 相似文献
11.
Takeshi Kawazoe 《逼近论及其应用》2009,(3):201-229
For a ≥β≥ -1/2 let △(x) = (2shx)^2α+1 (2chx)2β+1 denote the weight function on R+ and L^1 (△) the space of integrable functions on R+ with respect to △(x)dx, equipped with a convolution structure. For a suitable Ф ∈ L^1 (△), we put Фt(x) = t^-1 △(x)^-1 △(x/t)Ф(x/t) for t 〉 0 and define the radial maximal operator MФ, as usual manner. We introduce a real Hardy space H^1 (△) as the set of all locally integrable functions f on R+ whose radial maximal function MФ (f) belongs to L^1 (△). In this paper we obtain a relation between H^1 (△) and H^1 (R). Indeed, we characterize H^1 (△) in terms of weighted H^1 Hardy spaces on R via the Abel transform of f. As applications of H^1 (△) and its characterization, we shall consider (H^1 (△),L^1 (△))-boundedness of some operators associated to the Poisson kernel for Jacobi analysis: the Poisson maximal operator Me, the Littlewood-Paley g-function and the Lusin area function S. They are bounded on L^p(△) for p 〉 1, but not true for p = 1. Instead, Mp, g and a modified Sa,r are bounded from H^1 (△) to L^1 (△). 相似文献
12.
Víctor Almeida Jorge J.Betancor AlejANDro J.Castro Lourdes Rodríguez-Mesa 《中国科学 数学(英文版)》2019,62(1):73-124
In this paper we develop the theory of variable exponent Hardy spaces associated with discrete Laplacians on infinite graphs. Our Hardy spaces are defined by square integrals, atomic and molecular decompositions. Also we study boundedness properties of Littlewood-Paley functions, Riesz transforms, and spectral multipliers for discrete Laplacians on variable exponent Hardy spaces. 相似文献
13.
In this article, by extending classical Dellacherie's theorem on stochastic sequences to variable exponent spaces, we prove that the famous Burkholder-Gundy-Davis inequality holds for martingales in variable exponent Hardy spaces. We also obtain the variable exponent analogues of several martingale inequalities in classical theory, including convexity lemma, Chevalier's inequality and the equivalence of two kinds of martingale spaces with predictable control. Moreover, under the regular condition on σ-algebra sequence we prove the equivalence between five kinds of variable exponent martingale Hardy spaces. 相似文献
14.
Rovshan A. Bandaliev 《Czechoslovak Mathematical Journal》2010,60(2):327-337
The main purpose of this paper is to prove the boundedness of the multidimensional Hardy type operator in weighted Lebesgue
spaces with a variable exponent. As an application we prove the boundedness of certain sublinear operators on the weighted
variable Lebesgue space. 相似文献
15.
Analysis Mathematica - The purpose of this paper is to prove a Hardy type inequality associated with the n-dimensional Hankel transform (n ≥ 1) for the exponent σ0 = n(2 ? p) +... 相似文献
16.
17.
A class of anisotropic Herz-type Hardy spaces with variable exponent associated with a non-isotropic dilation on \({\mathbb{R}^{n}}\) are introduced, and characterizations of these spaces are established in terms of atomic and molecular decompositions. As some applications of the decomposition theory, the authors study the interpolation problem and the boundedness of a linear operator on the anisotropic Herz-type Hardy spaces with variable exponent. 相似文献
18.
证明了n维分数次Hardy算子H_β和H_(β*)从变指数Herz-Morrey空间MK(_p_1,q_1(·)*)从变指数Herz-Morrey空间MK(_p_1,q_1(·)α,λ)(Rα,λ)(Rn)到MK_(p_2,q_2(·)n)到MK_(p_2,q_2(·)α,λ)(Rα,λ)(Rn)的有界性.对n维Hardy算子也建立了相应的结果. 相似文献
19.
对构成广义Greiner算子的向量场$X_j = \frac{\partial }{\partial x_j} + 2ky_j \vert z\vert ^{2k - 2}\frac{\partial }{\partialt}$, $Y_j = \frac{\partial }{\partial y_j } - 2kx_j \vert z\vert^{2k - 2}\frac{\partial }{\partial t}$, j = 1,... ,n, x,y∈ Rn, $z = x + \sqrt { - 1} \,y$, t ∈ R, k ≥1, 得到了拟球域内和拟球域外的Hardy型不等式;建立了广义Picone型恒等式,并由此导出比文献[3]更一般的全空间上的Hardy型不等式;并在$p = 2$时建立了具最佳常数的Hardy型不等式. 相似文献
20.
闫雪芳 《数学物理学报(B辑英文版)》2014,(3):891-904
Let(X, d, μ) be a metric measure space endowed with a metric d and a nonnegative Borel doubling measure μ. Let L be a second order non-negative self-adjoint operator on L2(X). Assume that the semigroup e-tLgenerated by L satisfies the Davies-Gaffney estimates. Also, assume that L satisfies Plancherel type estimate. Under these conditions,we show that Stein's square function Gδ(L) arising from Bochner-Riesz means associated to L is bounded from the Hardy spaces Hp L(X) to Lp(X) for all 0 p ≤ 1. 相似文献