共查询到20条相似文献，搜索用时 15 毫秒
1.
设T是由Grubb和Moore引入的一类奇异积分算子,它的核满足一种新型利普希茨正则性.T*是由T确定的极大奇异积分算子.本文通过建立与T和T*相关的grand极大算子的弱型端点估计,得到了算子T和T*在加权空间的由Ap权常数表示的界的估计和弱型端点估计. 相似文献
2.
In this paper, weighted Lp estimates and sharp weighted endpoint estimates for the mul-tilinear commutators of the Littlewood-Paley operators are established. 相似文献
3.
Feng Ping YAO Yong Yong CAI 《数学学报(英文版)》2007,23(12):2225-2234
The authors present a new proof of L^q interior estimates of the gradient for weak solutions of a quasilinear elliptic equation of p-Laplacian type. 相似文献
4.
We derive weighted norm estimates which relate integral operators of potential type (fractional integrals) to corresponding maximal operators (fractional maximal operators). We also derive norm estimates for the maximal operators. The conditions that we impose on the weights involve A
conditions of content type which are weaker than the usual A
condition. The analysis is carried out in the context of spaces of homogeneous type. 相似文献
5.
Jorge J. Betancor;Estefanía Dalmasso;Pablo Quijano;Roberto Scotto; 《Mathematische Nachrichten》2024,297(6):2365-2389
In this paper, we give a criterion to prove boundedness results for several operators from the Hardy-type space H1((0,∞)d,γα)$H^1((0,infty)^d,gamma _alpha)$ to L1((0,∞)d,γα)$L^1((0,infty)^d,gamma _alpha)$ and also from L∞((0,∞)d,γα)$L^infty ((0,infty)^d,gamma _alpha)$ to the space of functions of bounded mean oscillation BMO((0,∞)d,γα)$textup {BMO}((0,infty)^d,gamma _alpha)$, with respect to the probability measure dγα(x)=∏j=1d2Γ(αj+1)xj2αj+1e−xj2dxj$dgamma _alpha (x)=prod _{j=1}^dfrac{2}{Gamma (alpha _j+1)} x_j^{2alpha _j+1} text{e}^{-x_j^2} dx_j$ on (0,∞)d$(0,infty)^d$ when α=(α1,⋯,αd)$alpha =(alpha _1, dots,alpha _d)$ is a multi-index in −12,∞d$left(-frac{1}{2},infty right)^d$. We shall apply it to establish endpoint estimates for Riesz transforms, maximal operators, Littlewood–Paley functions, multipliers of the Laplace transform type, fractional integrals, and variation operators in the Laguerre setting. 相似文献
6.
Andrei K. Lerner 《Journal of Functional Analysis》2006,232(2):477-494
Given a weight ω, we consider the space which coincides with when ω∈Ap. Sharp weighted norm inequalities on for the Calderón-Zygmund and Littlewood-Paley operators are obtained in terms of the Ap characteristic of ω for any 1<p<∞. 相似文献
7.
J. M. Aldaz 《Czechoslovak Mathematical Journal》2000,50(1):103-112
We study the behaviour of the n-dimensional centered Hardy-Littlewood maximal operator associated to the family of cubes with sides parallel to the axes, improving the previously known lower bounds for the best constants c
n that appear in the weak type (1,1) inequalities. 相似文献
9.
假设A是一个Young函数,MD#为广义sharp极大函数.本文首先引进了LA-Hrmander条件,对于满足LA-Hrmander条件的算子T,得到了与T相关的广义sharp极大函数的估计.然后,再利用该估计得到了算子T的加权Lp范数被Hardy-Littlewood极大函数和与Aˉ相关的极大函数的加权Lp范数所控制(0相似文献
10.
Ahmad AL-SALMAN 《Frontiers of Mathematics in China》2021,16(1):13-28
We introduce a class of singular integral operators on product domains along twisted surfaces.We prove that the operators are bounded on Lp provided that the kernels satisfy weak conditions. 相似文献
11.
Donald L. Burkholder 《Transactions of the American Mathematical Society》2002,354(1):91-105
A method is introduced for the simultaneous study of the square function and the maximal function of a martingale that can yield sharp norm inequalities between the two. One application is that the expectation of the square function of a martingale is not greater than times the expectation of the maximal function. This gives the best constant for one side of the Davis two-sided inequality. The martingale may take its values in any real or complex Hilbert space. The elementary discrete-time case leads quickly to the analogous results for local martingales indexed by . Some earlier inequalities are also improved and, closely related, the Lévy martingale is embedded in a large family of submartingales.
12.
Gordon J Johnston 《Journal of multivariate analysis》1982,12(3):402-414
Let (X, Y) have regression function m(x) = E(Y | X = x), and let X have a marginal density f1(x). We consider two nonparameteric estimates of m(x): the Watson estimate when f1 is known and the Yang estimate when f1 is known or unknown. For both estimates the asymptotic distribution of the maximal deviation from m(x) is proved, thus extending results of Bickel and Rosenblatt for the estimation of density functions. 相似文献
13.
References： 《高校应用数学学报(英文版)》2007,22(1):29-36
In this note, the regularity of Poisson equation -△u = f with f lying in logarithmic function space Lp(LogL)a(Ω)(1＜p ＜∞, a ∈ R) is studied. The result of the note generalizes the W2,p estimate of Poisson equation in Lp(Ω). 相似文献
14.
G. A. Karagulyan 《Proceedings of the American Mathematical Society》2007,135(10):3133-3141
We show that for any infinite set of unit vectors in the maximal operator defined by is not bounded in .
15.
Antonios D. Melas Eleftherios Nikolidakis 《Journal of Mathematical Analysis and Applications》2008,348(1):404-410
We obtain sharp estimates for the localized distribution function of the dyadic maximal function , given the local L1 norms of ? and of G○? where G is a convex increasing function such that G(x)/x→+∞ as x→+∞. Using this we obtain sharp refined weak type estimates for the dyadic maximal operator. 相似文献
16.
The behavior of the Kozachenko–Leonenko estimates for the(differential) Shannon entropy is studied when the number of i.i.d. vector-valued observations tends to infinity. The asymptotic unbiasedness and L^2-consistency of the estimates are established. The conditions employed involve the analogues of the Hardy–Littlewood maximal function. It is shown that the results are valid in particular for the entropy estimation of any nondegenerate Gaussian vector. 相似文献
17.
In this paper, we get W 1,p(Rn)-boundedness for tangential maximal func- tion and nontangential maximal function , which improves J.Kinnunen, P.Lindqvist and Tananka’s results. 相似文献
18.
Xingsong ZHANG Mingquan WEI Dunyan YAN Qianjun HE 《Frontiers of Mathematics in China》2020,15(1):215-223
We will prove that for 1相似文献
19.
H. Kita 《Mathematische Nachrichten》1997,183(1):135-155
Let Φ(t) and Ψ(t) be the functions having the following representations Φ(t) = ∫a(s)ds and Ψ(t) = ∫b(s) ds, where a(s) is a positive continuous function such that ∫a(s)/s ds = + ∞ and b(s) is an increasing function such that lims→ ∞ b(s) = + ∞. Then the following statements for the Hardy - Littlewood maximal function M f (x) are equivalent:
- 1 (i) there exist positive constants c1 and s0 such that
- 1 (ii) there exist positive constant c2 and c3 such that
20.
Sheldy Ombrosi 《Proceedings of the American Mathematical Society》2005,133(6):1769-1775
In this note we introduce a dyadic one-sided maximal function defined as
where is a certain cube associated with the dyadic cube and . We characterize the pair of weights for which the maximal operator applies into weak- for .
where is a certain cube associated with the dyadic cube and . We characterize the pair of weights for which the maximal operator applies into weak- for .