共查询到20条相似文献,搜索用时 15 毫秒
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Calderon-Zygmund型算子在加权Herz型Hardy空间上的弱型估计 总被引:1,自引:0,他引:1
本文引入了加权弱Herz型Hardy空间,并证明了当a=n(1-1/q) δ时,胡国恩和陆善镇等在文[1]中所考虑的两类Calderon-Zygmund型算子分别连续地映加权Herz型Hardy空间到加权弱Herz空间和加权弱Herz型Hardy空间。 相似文献
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胡国恩 《数学物理学报(B辑英文版)》2012,(4):1529-1544
In this paper, some weighted estimates with general weights are established for the m-linear Caldern-Zygmund operator and the corresponding maximal operator. It is proved that, if p1 , ··· , pm ∈ [1, ∞] and p ∈ (0, ∞) with 1/p = ∑m k=1 1/pk , then for any weight w, integer ■with 1 ≤■≤ m, these operators are bounded from L p 1 (Rn , MBw) ×···× Lp■(Rn , MBw) × Lp +1 (Rn , Mw) ×···× Lp m (Rn , Mw) to Lp, ∞ (R n , w) or L p (R n , w), where B is a Young function and M B is the maximal operator associated with B. 相似文献
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西方给出了C^n中单位球上的带权的Bergman空间上具一般符号的Toeplitz算子和Hankel算子为紧的充要条件。 相似文献
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We characterize the boundedness and compactness of weighted composition operators on weighted Dirichlet spaces in terms of Nevanlinna counting functions and Caxleson measure. 相似文献
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Let D be the unit disc and H(D) be the set of all analytic functions on D. In [2], C. Cowen defined a space H = f ∈ H(D) : f(z) =sum from k=o to ∞ ak(z + 1)k, z∈ D, ‖f‖2 = sum from k=o to ∞ |ak|24k < ∞In this article, the authors consider the similar Hardy spaces with arbitrary weights and discuss some properties of them. Boundedness and compactness of composition operators between such spaces are also studied. 相似文献
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本文研究H∞和Bergman空间之间加权复合算子uCφ的有界性或紧性,利用泛函分析及复分析的方法,获得了uCφ是有界算子或紧算子的充要条件在H∞和Bergman空间之间的范数估计,推广了各类解析函数空间上加权复合算子的相应理论. 相似文献
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本文研究了单位圆盘上 Bergman空间上的加权复合算子和复平面的单连通域(不是全平面)上Bergrnan空间上的复合算子的有界性和紧性.利用复分析方法,获得了有界性与紧性的一些充分条件和必要条件,推广了Hardy空间上的若干相关结果. 相似文献
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对[0,2π]年的区间I,对它的左右两个半区间L,R,定义一种加权原子形如b(t)=1/(p(t))[X1-XR(t)],其中ρ为满足某些性质的非负函数,加权原子b(t)的线性组合构成加权原子空间B(ρ),本证明了如果f∈B(ρ),则f的Fourier级数的Cesaro平均几乎处处收敛。 相似文献
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It is well known that the commutator Tb of the Calder′on-Zygmund singular integral operator is bounded on Lp(Rn) for 1 p +∞if and only if b∈BMO [1]. On the other hand, the commutator Tb is bounded from H1(Rn) into L1(Rn) only if the function b is a constant [2]. In this article, we will discuss the boundedness of commutator of certain pseudo-differential operators on Hardy spaces H1. Let Tσbe the operators that its symbol is S01,δwith 0≤δ 1, if b∈LMO∞, then, the commutator [b, Tσ] is bounded from H1(Rn) into L1(Rn) and from L∞(Rn) into BMO(Rn); If [b, Tσ] is bounded from H1(Rn) into L1(Rn) or L∞(Rn) into BMO(Rn), then, b∈LMO_(loc). 相似文献
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利用泛函分析多复变方法.研究了多圆柱上Bloch空间的加权复合算子的一些性质.并且通过圆柱的全纯自映射φ及全纯函数ψ的一些特性.分别给出了多圆柱上Bloch空间上由φ及ψ确定的加权复合算子的有界性与紧性的充要条件. 相似文献
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本文将刻划从小Bloch型空间β0p到β0q(0<p,q<∞)上加权复合算子Tψ,ψ的有界性和紧性.同时得到了Tψ,ψ是Bloch型空间βp到βq(p>1,0≤q≤1)有界算子的充要条件以及Tψ,ψ是Bloch型空间βp到βq(0≤p,q<∞)紧算子的充要条件. 相似文献
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刘岚喆 《数学物理学报(B辑英文版)》2005,25(1):89-94
It is proved that, for the nondivergence elliptic equations ∑in, j=1 aijuxixj = f,if f belongs to the generalized Morrey spaces Lp,ψ(ω), then uxixj ∈ Lp,ψ(ω), where u is the W2,p-solution of the equations. In order to obtain this, the author first establish the weighted boundedness for the commutators of some singular integral operators on Lp,ψ (ω). 相似文献
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In this article, we borrow the idea of using Schur’s test to characterize the compactness of composition operators on the weighted Bergman spaces in a bounded symmetric domain Ω, and verify that Cφ is compact on L q a (Ω, dv β ) if and only if K ( φ ( z ) ,φ ( z )) K ( z,z ) → 0 as z →φΩ under a mild condition, where K(z, w) is the Bergman kernel. 相似文献
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李文明 《数学物理学报(A辑)》2006,(Z1)
The author derives a kind of weighted norm inequalities which relate the multilinear potential type integral operators to the corresponding maximal operators. 相似文献