共查询到20条相似文献,搜索用时 15 毫秒
1.
L
2 estimates are obtained for some oscillatory singular integral operators with analytic phrases by using the technology of
almost orthogonality, oscillatory estimates and size estimates. 相似文献
2.
In this paper, we study the weighted norm inequalities for commutators formed by a class of one-sided oscillatory integral
operators and functions in one-sided BMO spaces. 相似文献
3.
LiuMingju JiangYinsheng 《分析论及其应用》2005,21(1):90-100
In this paper, the weighted L^p(R^n) boundedness for the multilinear oscillatory singular integral operators with polynomial phases is studied. 相似文献
4.
In this paper we consider oscillatory integral operators with strong singularities on . We obtain sharp decay estimates for L2 operator norm. We also obtain Hp estimates for difference of oscillatory strongly singular integral operators and strongly singular integral operators, which gives Lp mapping properties of oscillatory strongly singular integral operators. 相似文献
5.
研究了与满足变形L~r-Hormander条件的奇异积分算子和加权Lipschitz函数生成的Toeplitz算子T_b的sharp极大函数的点态估计,并应用该点态估计证明了Toeplitz算子T_b是从L~p(w)到L~q(w~(1-q))上的有界算子;此外还建立了与变形Lipschitz条件的奇异积分算子和加权BMO函数相关的Toeplitz算子T_b的sharp极大函数的点态估计,证明了这类Toeplitz算子是从L~p(μ)到L~q(v)上的有界算子. 相似文献
6.
In this paper, we will prove the Triebel-Lizorkin boundedness for some oscillatory singular integrals with the kernel (x) satisfying a condition introduced by Grafakos and Stefanov. Our theorems will be proved under various conditions on the phase function, radial and nonradial. Since the L p boundedness of these operators is not complete yet, the theorems extend many known results. 相似文献
7.
Ahmad Al-Salman 《Journal of Mathematical Analysis and Applications》2004,299(1):72-88
In this paper, we study a classes of oscillatory singular integral operators of nonconvolution type with phases more general than polynomials. We prove that such operators are bounded on Lp provided their kernels satisfy a very weak condition. In addition, we also study the related truncated oscillatory singular integral operators. Moreover, we present a class of unbounded oscillatory singular integral operators. 相似文献
8.
In this paper, we establish the boundedness of commutators of singular integral operators with non-smooth kernels on weighted Lipschitz spaces Lipβ,ω. The condition on the kernel in this paper is weaker than the usual pointwise H¨ormander condition. 相似文献
9.
We give a Pontryagin-Thom type construction for Stein factorizations of fold maps of 3-manifolds into the plane. As an application,
we compute the cobordism group of Stein factorizations of fold maps of oriented 3-manifolds into the plane and the oriented
cobordism group of fold maps of 3-manifolds into the plane. It turns out that these two groups are isomorphic to Z
2 ⊕ Z
2. We have the analogous results about bordism groups as well.
相似文献
10.
By sharp maximal function, we establish a weighted estimate with multiple-weight for the multilinear singular integral operators with non-smooth kernels. 相似文献
11.
12.
Liu Lanzhe 《Proceedings Mathematical Sciences》2005,115(2):167-190
In this paper, we prove some BMO end-point estimates for some vector-valued multilinear operators related to certain singular
integral operators. 相似文献
13.
HU Guo''''en LI Dengfeng & LU Shanzhen Department of Applied Mathematics University of Information Engineering P. O. Box - Zhengzhou China College of Mathematical Information Sciences Henan University Kaifeng China Department of Mathematics Beijing Normal University Beijing China 《中国科学A辑(英文版)》2005,48(12):1696-1706
Two pointwise estimates relating the maximal multilinear singular integral operators and some classical maximal operators are established. These pointwise estimates imply the rearrangement estimate and the BLO(Rn) estimate for the maximal multilinear singular integral operators. 相似文献
14.
Guo-en HU~ Da-chun YANG~ 《中国科学A辑(英文版)》2007,50(11):1621-1641
Letμbe a nonnegative Radon measure on R~d which only satisfiesμ(B(x,r))≤C_0r~n for all x∈R~d,r>0,and some fixed constants C_0>0 and n∈(0,d].In this paper,some weighted weak type estimates with A_(p,(log L)~σ)~ρ(μ) weights are established for the commutators generated by Calder■n-Zygmund singular integral operators with RBMO(μ) functions. 相似文献
15.
V. S. Pilidi 《Mathematical Notes》1975,17(6):512-515
Let the contour γ consist of a finite number of simple closed pairwise nonintersecting curves, satisfying a Lyapunov condition, let S be the operator of singular integration in spacel p , (γ) (1 <p < ∞), and leta (t), b (t) εC (γ) 1 <p 1. <p < ∞. The necessary and sufficient condition for A = aI+ bS to be a Φ-operator in space Lp(γ) is that, for all?ε Lp(γ), ∥?∥p ? const (∥ A?p + ∥ ? ∥p1), where ∥?∥p = ∥?∥Lp (γ). 相似文献
16.
HU GuoEn & LU ShanZhen 《中国科学 数学(英文版)》2011,(3)
In this paper, by sharp function estimates and certain weak type endpoint estimates, the authors establish some weighted norm inequalities with Ap weights for the multilinear singular integral operators with non-smooth kernels. 相似文献
17.
Geoff Diestel 《Journal of Mathematical Analysis and Applications》2007,332(2):1482-1494
We obtain square function estimates and bounds for maximal singular integral operators associated with bilinear multipliers given by characteristic functions of dyadic dilations of certain planar sets. As a consequence, we deduce pointwise almost everywhere convergence for lacunary partial sums of bilinear Fourier series with respect to methods of summation determined by the corresponding planar sets. 相似文献
18.
José Marí a Martell Carlos Pé rez Rodrigo Trujillo-Gonzá lez 《Transactions of the American Mathematical Society》2005,357(1):385-396
We show that the classical Hörmander condition, or analogously the -Hörmander condition, for singular integral operators is not sufficient to derive Coifman's inequality
where , is the Hardy-Littlewood maximal operator, is any weight and is a constant depending upon and the constant of . This estimate is well known to hold when is a Calderón-Zygmund operator.
where and where is an arbitrary weight. However, by a recent result due to A. Lerner, this inequality is satisfied whenever is a Calderón-Zygmund operator.
where , is the Hardy-Littlewood maximal operator, is any weight and is a constant depending upon and the constant of . This estimate is well known to hold when is a Calderón-Zygmund operator.
As a consequence we deduce that the following estimate does not hold:
where and where is an arbitrary weight. However, by a recent result due to A. Lerner, this inequality is satisfied whenever is a Calderón-Zygmund operator.
One of the main ingredients of the proof is a very general extrapolation theorem for weights.
19.
Weighted estimates for singular integral operators and commutators associated with the sections 总被引:1,自引:0,他引:1
Tang Lin 《Journal of Mathematical Analysis and Applications》2007,333(2):577-590
In this paper we prove weighted estimates for singular integral operators and commutators associated with the sections. 相似文献
20.
Weak estimates for commutators of fractional integral operators 总被引:4,自引:0,他引:4
By introducing a kind of maximal operator of the fractional order associated with the mean Luxemburg norm and using the technique
of the sharp function, the weak type LlogL estimates for the commutators of the fractional integral operator and the related
maximal operator are established. 相似文献