共查询到20条相似文献,搜索用时 15 毫秒
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本文研究了Marcinkiewicz积分μΩ的有界性的问题,借助Ap权的性质,得到了相应与Littlewood-Paley g-函数的Marcinkiewica积分算子μΩ的(Lp(v),Lp(u))有界性,并且证明了相应于Littlewood-Paley gλ*-函数和Lusin面积积分的Marcinkiewicz积分μ*Ω,λ,μΩ,S的(Lp(v),Lp(u))有界性. 相似文献
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In this paper, we consider the following integral system: u(x) = R n v q (y) | x y | nα dy, v(x) = R n u p (y) | x y | nμ dy, (0.1) where 0 < α, μ < n; p, q ≥ 1. Using the method of moving planes in an integral form which was recently introduced by Chen, Li, and Ou in [2, 4, 8], we show that all positive solutions of (0.1) are radially symmetric and decreasing with respect to some point under some general conditions of integrability. The results essentially improve and extend previously known results [4, 8]. 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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杜金元 《数学物理学报(B辑英文版)》1998,(2)
1IntroductionSingUlarlintegralequations(SIEs)withCauchytypekernelsoftheformappearfrequelltlyinproblemsOfthetheoriesofelasticity.Heretheinputfunctionsa)b,f,l,aretheH5lder-continuousfunctionsfortheirvariables,Aisagivenconstant,anditisrequiredtofindthesolutionWintheclassho[1,2].Theclassicaltheoryoftheseequationsisrathercomplete[1,2].Inthepasttwentyyearsagreatdealofinteresthasarisenintheirnumericalsolution.VariouscollocationmethodsforSIEshaveappeared,forwhichsomereferencescanbefoundinthesurv… 相似文献
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本文研究了一类粗糙奇异积分算子的加权Triebel-Lizorkin有界性.对核函数Ω∈L log+L(Sn-1)建立了径向权函数的加权有界性;而对于核函数Ω∈Lr(Sn-1),1<r≤∞,得到了一般的Muckenhopt权函数的加权有界性. 相似文献
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本文研究了一类粗糙奇异积分算子的加权Triebel-Lizorkin有界性.对核函数Ω∈Llog L(Sn-1)建立了径向权函数的加权有界性;而对于核函数Ω∈Lr(Sn-1),1相似文献
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Ovidiu Furdui 《逼近论及其应用》2010,(3):215-221
In this paper we calculate the norm of a special class of integral operators acting on LP (C^n, dvs), where dvs is the Gaussian measure on C^n. 相似文献
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杜金元 《数学物理学报(B辑英文版)》1995,(2)
SINGULARINTEGRALOPERATORSANDSINGULARQUADRATUREOPERATORSASSOCIATEDWITHSINGULARINTEGRALEQUATIONSOFTHEFIRSTKINDANDTHEIRAPPLICATI... 相似文献
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胡国恩 《数学物理学报(B辑英文版)》2005,25(3):545-554
Lp(Rn) (1<p<∞) boundedness and a weak type endpoint estimate are considered for the commutators of singular integral operators. A condition on the associated kernel is given under which the L2(Rn) boundedness of the singular integral operators implies the Lp(Rn) boundedness (1<p<∞) and the weak type (H1(Rn), L1(Rn))boundedness for the corresponding commutators. A new interpolation theorem is also established. 相似文献
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《数学物理学报(B辑英文版)》2017,(6)
Let ? be a bounded open domain in Rnwith smooth boundary ??,X =(X_1,X_2,···,X_m) be a system of real smooth vector fields defined on ? and the boundary ?? is non-characteristic for X. If X satisfies the H¨ormander's condition,then the vector field is finitely degenerate and the sum of square operator △X =Σ_(j=1)~mX_j~2 is a finitely degenerate elliptic operator. In this paper,we shall study the sharp estimate of the Dirichlet eigenvalue for a class of general Grushin type degenerate elliptic operators △X on ?. 相似文献
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一类Bernstein型算子加权逼近 总被引:2,自引:1,他引:2
本文首先给出了一类用递归法定义的Bernsein型算子在一致逼近意义下的特征刻划,然后指出在通常的加权范数下,它虹无界的,通过引入的一种新范数,我们给出了该算子加Jacobi权逼近的特征刻划。 相似文献
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本文得到局部紧Vilenkin群上满足一定尺寸条件的一类次线性算子在加幂权Lebesgue空间的强有界和弱有界定理 相似文献
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某些多元线性正算子的加权逼近 总被引:6,自引:0,他引:6
本文首先给出了在Lp逼近意义下某些线性正算子加Jacobi权逼近时的特征定理,作为应用,我们给出了多元Baskakov型算子、多元Szasz-Mirakjan型算子和多元Beta算子加权逼近时的特征刻划. 相似文献
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Let T be a singular integral operator bounded on Lp(Rn) for some p, 1 < p <∞. The authors give a sufficient condition on the kernel of T so that when b ∈BMO, the commutator [b, T](f) = T(bf) - bT(f) is bounded on the space Lp for all p, 1 < p <∞.The condition of this paper is weaker than the usual pointwise Hormander condition. 相似文献
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一类奇异积分方程组的样条间接近似解法 总被引:3,自引:0,他引:3
本文利用三次复插值样条函数给了定义于复平面上光滑封闭曲线上的一类奇异积分方程组(1)的一种间接近似解法,讨论了误差估计和一致收敛性。 相似文献
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本文研究一类多元Gauss-Weierstrass算子的线性组合加Jacobi型权逼近的性质,利用加权矩量不等式及加权K-泛函、光滑模等工具,建立了这类算子在Lp(1≤p≤∞)空间的正、逆定理和逼近阶的特征刻划. 相似文献