共查询到17条相似文献,搜索用时 93 毫秒
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T_b表示由加权Lipschitz函数b与Calderon-Zygmund奇异积分算子T生成的交换子.研究了T_b在加权Herz型Hardy空间上的有界性质,并在端点处证明了交换子是从加权Herz型Hardy空间到加权弱Herz空间的有界算子. 相似文献
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Marcinkiewicz积分交换子的加权有界性(英文) 总被引:1,自引:0,他引:1
本文应用加权Hardy空间H_ω~p(R~n)上的原子分解理论,研究了由函数b∈Λβ(R~n)(0<β≤1)与Marcinkiewicz积分μ_Ω生成的交换子μ_Ω~b的有界性;证明了μ_Ω~b是从L~q(ω~q)到L~q(ω~q)有界的,从L~1(|x|γ(n-β)/n)到弱L(n/n-β)(|x|~γ)有界的,且从H~p(ω~p)到L~q(ω~q)有界的,这里1/p-1/q=β/n. 相似文献
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本文首先研究了加权复合算子W_(Φ,φ)(f):=Φfoφ的Hilbert-Schmidt性质与序有界性的对应关系.接着利用加权Dirichlet空间D^(q)_(β)(0
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加权Herz型Hardy空间上的Littlewood-Paley g函数 总被引:2,自引:0,他引:2
王月山 《纯粹数学与应用数学》2001,17(3):220-226
研究了Littlewood-Paley g函数gψ(f)(x)在加权Herz型Hardy空间上的性质,得到了如下结果,若ω1,ω2∈A1,则当n(1-1/q)≤α≤n(1-1/q) ε时,gψ为HK^a,p q(ω1,ω2)到K^a,p q(ω1,ω2)上的有界算子,当α=n(1-1/) ω时,gψ为HK^a,p q(ω1,ω2)到WK^a,p q(ω1,ω2)上的有界算子。 相似文献
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胡璋剑 《数学年刊A辑(中文版)》1992,(4)
设f是 B_n={z∈C~n;|z|<1}上的全纯函数。f~([β])是f的β阶分数次导数。本文证明:对f~([β])∈A~p(B_n),若0
(n+1)/β,则f∈∧_(β-(n+1)'p)。对f~[β]∈H~p,也获得了相应的结果。 相似文献
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设φ为单位圆盘D上的解析自映射,H(D)表示D上的所有解析函数的集合,u∈H(D).研究了从Hardy空间到Zygmund-型空间及小Zygmund-型空间的加权微分复合算子D_(φ,u)~n,的有界性和紧性,其中n∈N_0. 相似文献
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Littlewood-Paley g-函数交换子的加权估计 总被引:1,自引:1,他引:0
设g_(φ,b)是Littlewood-Paley g-函数与b生成的交换子,ω∈A_1.证明了若b属于加权BMO空间BMO(ω),则g_(φ,b)是L~p(ω)到L~p(ω~(1-p))(1p∞)有界的;若b属于加权Lipschitz空间Lip_β(ω)(0β1),则g_(φ,b)是L~p(ω)到L~q(ω~(1-q))的有界算子,其中1pq∞,1/q=1/p-β/n. 相似文献
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《数学学报》2013,(4)
设w是一个Muckenhoupt议函数且WH_wp(Rp(Rn)是加仅的弱型Hardy空间.通过WH_wn)是加仅的弱型Hardy空间.通过WH_wp(Rp(Rn)的原子分解定理,将证明当0
n/p-(n+1)/2时,极大Bochner-Riesz算子T_*n)的原子分解定理,将证明当0
n/p-(n+1)/2时,极大Bochner-Riesz算子T_*δ是从WH_wδ是从WH_wp(Rp(Rn)到WL_wn)到WL_wp(Rp(Rn)有界的.而且还将证明对于0
n/p-(n+1)/2,Bochner-Riesz算子T_Rn)有界的.而且还将证明对于0
n/p-(n+1)/2,Bochner-Riesz算子T_Rδ在加权弱型Hardy空间WH_wδ在加权弱型Hardy空间WH_wp(Rp(Rn)上也是有界的.本文的结果即使对于非加,仅情形也是新的. 相似文献
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分数次积分在局部Hardy空间上的有界性质 总被引:1,自引:1,他引:0
证明了当0<αn/(n-α)时,分数次积分Iα是局部Hardy空间hp(Rn)到空间hp(Rn)+Lq(Rn)的一个线性映射. 相似文献
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王婧敏 《数学的实践与认识》2010,40(23)
讨论了θ-型Calderón-Zygmund算子T与b=(b_1,b_2,…,b_m)(b_j∈Osc_(exp L~Tj),1≤j≤m)生成的多线性交换子(?)的加权估计.当0
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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
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设0<β<1,α,β0<αnn-α.给出了当p=nn+β时,分数次积分I与L ipsch itz函数b的交换子从局部H ardy空间hp(Rn)到空间hp(Rn)+Lq(Rn)上的有界性估计. 相似文献
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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
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Chaojiang Xu 《偏微分方程(英文版)》1995,8(2):97-107
This paper proves the existence of solution for the following quasilinear subelliptic Dirichlet problem: {Σ^m_{j=1}X^∗_ja_j(X, v, Xv)+ a_o(x, v, Xv) + H(x,v, Xv) = 0 v ∈ M^{1,p}_0(Ω) ∩ L^∞(Ω) Here X = {X_1 , …, X_m} is a system of vector fields defined in an open domain M of R^n, n ≥ 2, Ω ⊂ ⊂ M, and X satisfies the so-called Hormander's condition at the order of r > 1 on M. M_{1,p}_0(Ω) is the weighted Sobolev's space associated with the system X . The Hamiltonian H grows at most like |Xv|^p. 相似文献
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