首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到19条相似文献,搜索用时 98 毫秒
1.
In this paper, the sequence spaces e0^τ(u, p) and ec^τ(u, p) of non-absolute type which are the generalization of the Maddox sequence spaces have been introduced and it is proved that the spaces e0^τ(u,p) and ec^τ(u,p) are linearly isomorphic to spaces co(p) and c(p), respectively. Furthermore, the α-, β- and γ-duals of the spaces 0^τ(u,p) and ec^τ(u,p) have been computed and their bases have been constructed and some topological properties of these spaces have been investigated. Besides this, the class of matrices (e0^τ)(u, p) : μ) has been characterized, where μ is one of the sequence spaces l∞, c and co and derives the other characterizations for the special cases of μ. In the last section, Euler Core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core.  相似文献   

2.
In this paper,we first introduce L~(σ_1)-(log L)~(σ_2) conditions satisfied by the variable kernelsΩ(x,z) for 0≤σ_1≤1 and σ_2≥0.Under these new smoothness conditions,we will prove the boundedness properties of singular integral operators T_Ω,fractional integrals T_(Ω,α) and parametric Marcinkiewicz integrals μ_Ω~ρ with variable kernels on the Hardy spaces H~p(R~n) and weak Hardy spaces WH~P(R~n).Moreover,by using the interpolation arguments,we can get some corresponding results for the above integral operators with variable kernels on Hardy-Lorentz spaces H~(p,q)(R~n) for all p q ∞.  相似文献   

3.
For convolution-type Calderon-Zygmund operators, by the boundedness on Besov spaces and Hardy spaces, applying interpolation theory and duality, it is known that H5rmander condition can ensure the boundedness on Triebel-Lizorkin spaces Fp^0,q (1 〈 p,q 〈 ∞) and on a party of endpoint spaces FO,q (1 ≤ q ≤ 2), hut this idea is invalid for endpoint Triebel-Lizorkin spaces F1^0,q (2 〈 q ≤ ∞). In this article, the authors apply wavelets and interpolation theory to establish the boundedness on F1^0,q (2 〈 q ≤ ∞) under an integrable condition which approaches HSrmander condition infinitely.  相似文献   

4.
In this paper,we characterize the multipliers of generalized Bergman spaces Ap,q,αwith 00) in almost every case considered. The corollaries on multipliers of the spaces Ap,q,αextend some related results.  相似文献   

5.
In this paper the boundedness for the multilinear fractional integral operator Iα^(m) on the product of Herz spaces and Herz-Morrey spaces are founded, which improves the Hardy- Littlewood-Sobolev inequality for classical fractional integral Iα. The method given in the note is useful for more general multilinear integral operators.  相似文献   

6.
Let 1<q<∞, 1-1/q≤α<∞, 0<p<∞ and G be a locally compact Vilenkin group.The authors first introduce the general Herz-type Hardy spaces HKα,pq(G) and hKα,pq(G), then present the central atom or the central block and atom decompositions of these spaces. Using this characterization, they discuss some properties of these spaces and investigate the boundedness on the spaces HKα,pq(G) of the fractional integral operators and the boundedness on the spaces hKα,pq(G) of the pseudo-differential operators of order zero.  相似文献   

7.
Herz-type Triebel-Lizorkin Spaces, Ⅰ   总被引:1,自引:0,他引:1  
Let s ∈R,0〈β≤∞, 0〈 q, p〈 ∞ and-n/q〈α. In this paper the authors introduce the Herz-type Triebel-Lizorkin spaces,Kq^α,pFβ^s(R^n)andKq^α,pFβ^s(R^n)which are the generalizations of the well-known Herz-type spaces and the inhomogeneous Triebel-Lizorkin spaces, Some properties on these Herz-type Triebel Lizorkin spaces are also given.  相似文献   

8.
岳修奎 《数学季刊》2012,(3):344-351
In this paper, we give some new results of the coefficient multiplier of some analytic function spaces, characterize the coefficient multiplier spaces (Hα, p Hβ q) and (Ap,α), Aq,β) with 0 < p ≤ 1, p ≤ q ≤∞, 0 ≤α < β < ∞ and show (Hα∞, Hβ∞) = Hβ-α1 with 0 < α < β < ∞.  相似文献   

9.
This study focuses on vector-valued anisotropic Sobolev-Lions spaces associated with Banach spaces E0, E. Several conditions are found that ensure the continuity and compactness of embedding operators that are optimal regular in these spaces in terms of interpolations of spaces E0 and E. In particular, the most regular class of interpolation spaces Eα between E0, E depending on α and the order of space are found and the boundedness of differential operators D^α from this space to Eα-valued Lp,γ spaces is proved. These results are applied to partial differential-operator equations with parameters to obtain conditions that guarantee the maximal Lp,γ regularity and R-positivity uniformly with respect to these parameters.  相似文献   

10.
Shanzhen  Lu  Lifang  Xu 《分析论及其应用》2004,20(3):215-230
In this paper, the authors study the boundedness of the operator [μΩ, b], the commutator generated by a function b ∈ Lipβ(Rn)(0 <β≤ 1) and the Marcinkiewicz integrals μΩ, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈ Lipα(Sn-1)(0 <α≤ 1).  相似文献   

11.
The paper considers the free interpolation problem in the Hardy weighted space H p(ρ). It is assumed that the weight ρ has unique singularity of the order αonly at the point 1. Particularly, for α − p[(α + 1)p −1] > 0 the corresponding free interpolation problem is stated and its solvability is proved.  相似文献   

12.
This study focuses on the anisotropic Besov-Lions type spaces B^lp,θ(Ω;E0,E) associated with Banach spaces E0 and E. Under certain conditions, depending on l =(l1,l2,…,ln)and α=(α1,α2,…,αn),the most regular class of interpolation space Eα between E0 and E are found so that the mixed differential operators D^α are bounded and compact, from B^l+s p,θ(Ω;E0,E) to B^s p,θ(Ω;Eα).These results are applied to concrete vector-valued function spaces and to anisotropic differential-operator equations with parameters to obtain conditions that guarantee the uniform B separability with respect to these parameters. By these results the maximal B-regularity for parabolic Cauchy problem is obtained. These results are also applied to infinite systems of the quasi-elliptic partial differential equations and parabolic Cauchy problems with parameters to obtain sufficient conditions that ensure the same properties.  相似文献   

13.
We prove the boundedness of the maximal operator Mr in the spaces L^p(·)(Г,p) with variable exponent p(t) and power weight p on an arbitrary Carleson curve under the assumption that p(t) satisfies the log-condition on Г. We prove also weighted Sobolev type L^p(·)(Г, p) → L^q(·)(Г, p)-theorem for potential operators on Carleson curves.  相似文献   

14.
Several theorems for atomic decompositions of Banach-space-valued martingales are proved. As their applications, the relationship among some martingale spaces such asH α(X) andρ H α in the case 0< α⩽ are studied. It is shown that there is a close connection between the results and the smoothness and convexity of the value spaces. Project supported by the National Natural Science Foundation of China (Grant No. 19771063).  相似文献   

15.
§1 IntroductionSuppose thatf is analytic in the open unit disc D in the complex plane.We defineMp(r,f) =12π∫2π0 | f(reiθ) | pdθ1 / p,0

相似文献   


16.
The central Campanato spaces and its application   总被引:2,自引:0,他引:2  
Let 1<p<∞, α≥0 andK be a local field. In this paper, the author introduces the spaces J p α (K) and the central Campanato spaces as well as the Sp,α- and S p,α + -type singular integrals. Then, the author investigates the behavior of these singular integrals and their altered operators on these spaces. The research was supported by the NNSF of China.  相似文献   

17.
Let 1<q<∞, n(1−1/q)≤α<∞, 0<p<∞ and ω12 ɛA 1(R n ) (the Muckenhoupt class). In this paper, the author introduce the weighted Herz-type Hardy spaces hk q α,p (gw12) and present their atomic decomposition. Using the atomic decomposition, the author find out their dual spaces, establish the boundedness on these spaces of the pseudo-differential operators of order zero and show thatD(R n ), the class of C(Rn)-functions with compactly support, is dense inhK q α,p12) and there is a subsequence, which converges in distrbutional sense to some distribution ofhK q α,p12), of any bounded sequence inhK q α,p12). In addition, the author also set up the boundedness of some non-linear quantities in compensated compactness. Supported by the NECF and the NECF and the NNSF of China.  相似文献   

18.
For Hausdorff operator with generating function having support in the unit ball of p-adic field ℚ p we give sufficient and necessary conditions of its boundedness in BMO-type spaces: BLO(ℚ p n ), Q r α,q (ℚ p n ) and BMO r α,q (ℚ p n ). Some embedding relations between these spaces and Besov spaces are established.  相似文献   

19.
In this paper, the authors study the with non-isotropic dilation on product domains. LP-mapping properties of certain maximal operators As an application, the LP-boundedness of the corre- sponding nomisotropic multiple singular integral operator is also obtained. Here the integral kernel functions Ω belong to the spaces L(logL)a(E1 × E2) for some a 〉 0, which is optimal.  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号