共查询到19条相似文献,搜索用时 853 毫秒
1.
分数次Hardy算子的交换子在变指数Herz-Morrey空间中的有界性 总被引:1,自引:0,他引:1
本文主要建立了由分数次Hardy算子与BMO函数生成的交换子从变指数Herz-Morrey空间MK_(q1,p1(·))~(α,λ)(Rn)到MK_(q2,p2(·))~(α,λ)(Rn)的有界性.对n维Hardy算子的交换子也证明了类似的结果. 相似文献
2.
非齐型空间中一类次线性算子的交换子在Morrey—Herz空间上的有界性 总被引:1,自引:0,他引:1
讨论了非齐型空间中由一类次线性算子分别与RBMO函数以及Lipschitz函数生成的交换子在Morrey—Herz空间上的有界性,证明了交换子从MKp1,q1^α,λ(μ)的有界性,以及从MKp1,q1^n(1-1/q1),λ(μ)到WMKp2,q2^(1-1/q1),λ(μ)的有界性。 相似文献
3.
武江龙 《纯粹数学与应用数学》2009,25(3):586-594
在非齐型齐次Morrey—Herz空间MKp,q^α,λ(μ)中建立了某些次线性算子的有界性,同时利用Calderon-Zygmund算子的L^2(μ)有界性,在MKp,q^α,λ(μ)上证明了由Calderon—Zygmund算子和RBMO(μ)函数生成的交换子的有界性. 相似文献
4.
设0≤βα, q=α/(α-β), f≥0.本文研究带齐次核?的抛物型奇异积分和分数次积分算子的弱型极限行为,建立了如下结果:limλ→0+λqm({x∈Rn:Tα?,βf(x)λ})=1α||?||q q||f||q L1(Rn),以及limλ→0+λqm({x∈Rn:Tα?,βf(x)-?(x)ρ(x)α-β||f||L1(Rn)λ})=0,其中?满足Lqβ-Dini条件,当β=0时,还需满足∫Sn-1?(x′)J(x′)dσ(x′)=0.同时,给出了相应的抛物型极大奇异积分和Marcinkiewicz积分的弱型极限行为.此外,建立了关于Heisenberg群Hn上Hardy-Littlewood极大函数的相应结果. 相似文献
5.
设L是L2(Rn)上解析半群的无穷小生成算子,其积分核具有高斯界,L-α/2表示L的分数次积分算子,其中0<α<n.对自然数m,若bi(i=1,2,…,m)表示Rn上有界平均振荡函数,则由分数次积分L-α/2与bi(i=1,2,…,m)生成多线性交换子是从Lp(Rn)到Lq(Rn)是有界的,其中1<p<α/n,1/q=1/p-α/n. 相似文献
6.
在齐次Morrey-Herz空间MK˙α,λp,q(Rn)上建立了由n维分数次Hardy算子和CBMO函数生成的多线性交换子H,b的有界性. 相似文献
7.
8.
讨论了在q=2的情形下,Littlewood-Paley gλ*函数在加权Herz型Hardy空间中的有界性,即当0
相似文献
9.
设L是L~2(R~n)上的一个解析半群的无穷小生成元,核函数满足高斯上界.L~(-α/2)(0αn)是由L生成的广义分数次积分算子,若T_(j,1)是与L有关的带有非光滑核的奇异积分算子,或T_(j,1)=I,T_(j,2),T_(j,4)是线性算子且具有(B~(p,λ),B~(p,λ))有界性(1p∞,λ∈R),T_(j,3)=±I(j=1,2,…,m),其中I为恒等算子,M_b是乘法算子.当b∈CBMO~(p_2,λ_2)函数时,证明Toeplitz型算子θ_a~b是B~(p_1,λ_1)到B~(q,λ)上的有界算子,并由此得广义分数次积分交换子[b,L~(-a/2)]和非光滑核的奇异积分交换子[b,T]在中心Morrey型空间上的有界性. 相似文献
10.
11.
Let L be a one-to-one operator of type ω having a bounded H∞ functional calculus and satisfying the k-Davies-Gaffney estimates with k ∈ N. In this paper, the authors introduce the Hardy space HLp(Rn) with p ∈ (0, 1] associated with L in terms of square functions defined via {e-t2kL}t>0 and establish their molecular and generalized square function characterizations. Typical examples of such operators include the 2k-order divergence form homogeneous elliptic operator L1 with complex bounded measurable coefficients and the 2k-order Schrdinger type operator L2 := (-Δ)k + Vk, where Δ is the Laplacian and 0≤V∈Llock(Rn). Moreover, as an application, for i ∈ {1, 2}, the authors prove that the associated Riesz transform ▽k(Li-1/2) is bounded from HLip (Rn) to Hp(Rn) for p ∈ (n/(n + k), 1] and establish the Riesz transform characterizations of HL1p (Rn) for p ∈ (rn/(n + kr), 1] if {e-tL1 }t>0 satisfies the Lr-L2 k-off-diagonal estimates with r ∈ (1, 2]. These results when k := 1 and L := L1 are known. 相似文献
12.
设函数b=(b1,b2,…,bm)和广义分数次积分L-a/2(0〈α〈n),它们生成多线性算子定义如下 Lb -a/2 f = [bm …, [b2[b1, L-a/2]],…, ]f,其中m ∈ Z+ , bi ∈ Lipβi (0 〈βi 〈 1),其中(1≤i≤m).将讨论Lb -1a/2。从Mp^q(Rn)到Lip(α+β-n/ q) ( Rn )和q^q ( Rn )到BMO(Rn)的有界性. 相似文献
13.
14.
The classical Hardy-Littlewood-Sobolev theorems for Riesz potentials (-Δ) -α/2 are extended to the generalised fractional integrals L-α/2 for 0 < α < n, where L =-div A is a uniformly complex elliptic operator with bounded measurable coefficients in Rn. 相似文献
15.
Marcinkiewicz积分交换子在Herz型空间中的弱型估计 总被引:1,自引:0,他引:1
用μΩ表示Marcinkiewicz积分,μΩ,b表示μΩ与函数b∈BMO(R~n)生成的交换子.本文证明了交换子μΩ,b是从Herz型Hardy空间H■_q~(n(1-(1/q)),p)(R~n)到弱Herz空间W■_q~(n(1-(1/q)),p)(R~n)有界的,其中0<p≤1,1<q<∞. 相似文献
16.
Let L =-? + V be a Schrdinger operator acting on L2(Rn), n ≥ 1, where V ≡ 0 is a nonnegative locally integrable function on Rn. In this article, we will intropduce weighted Hardy spaces H L(w) associated with L by means of the square function and then study their atomic decomposition theory. We will also show that the Riesz transform ?L-1/2associated with L is bounded from our new space Hp L(w) to the classical weighted Hardy space Hp(w) when n/(n +1) p 1 and w ∈ A1∩ RH(2/p)′. 相似文献
17.
W. Trebels 《Applicable analysis》2013,92(2):91-107
In the foregoing Note (this Journal Vol.I.p. 75-99) the space of n-dimensional Bessel potentials Lp x was deseribed in terms of generalized Lipschitz conditions of f or its Riesz transform for 0<∝≦2 The still open case ∝>1 is treated in the first half of this paper, firstly by introducing appropriate iterates of the cited conditions, secondly by using derivatives of f and its Riesz transform, in particular the Laplacian △ and the gradient of the Riesz transformation(▽,R and by applying the former results In Section 6 a definition of a Riesz derivative of order ∝ is given and based upon the concept: Integrate f(m-α)-times in the sense of Riesz and then differentiate [d]m-times (by considering the limit of suitable difference quotients of f). Necessary and sufficient conditions for the existence of these Riesz derivatives are obtained All results also hold in the non-reflexive spaces[d] 相似文献
18.
Zun-wei FU~ 《中国科学A辑(英文版)》2007,50(10):1418-1426
In this paper, it was proved that the commutator Hβ,b generated by an n-dimensional fractional Hardy operator and a locally integrable function b is bounded from Lp1(Rn) to Lp2 (Rn) if and only if b is a C(M)O(Rn) function, where 1/p1 - 1/p2 = β/n, 1 < p1 <∞, 0 ≤β< n. Furthemore,the characterization of Hβ,b on the homogenous Herz space (K)qα,p(Rn) was obtained. 相似文献
19.
§1. IntroductionLet L be a homogeneous elliptic operator on L2(Rn) of order 2m in divergence formL = (?1)m|α|=|β|=m?α(aα,β?β), (1.1)where we assume aα,β ∈ L∞(Rn;C) for all α,β. The operator L is associated to the followingform Q(f,g) de?ned o 相似文献