共查询到20条相似文献,搜索用时 15 毫秒
1.
Jia-cheng Lan 《应用数学学报(英文版)》2005,21(4):615-622
In this paper, the author discusses the multilinear singular integrals with certain θ-type Calderdn- Zygmund operators and obtain the boundedness from weak H^1 (R^n) to weak L^1 (R^n). 相似文献
2.
Jun Feng LI 《数学学报(英文版)》2005,21(6):1495-1508
In this paper, the author obtains that the multilinear operators of strongly singular integral operators and their dual operators are bounded from some L^p(R^n) to L^p(R^n) when the m-th order derivatives of A belong to L^p(R^n) for r large enough. By this result, the author gets the estimates for the Sharp maximal functions of the multilinear operators with the m-th order derivatives of A being Lipschitz functions. It follows that the multilinear operators are (L^p, L^p)-type operators for 1 〈 p 〈 ∞. 相似文献
3.
4.
Abstract In this paper, we study multilinear oscillatory singular integrals with rough kernel, and give a criterion of certain boundedness for this kind of operator Research supported by NNSF of China (No.19131080) and NEDF of China 相似文献
5.
GuoEnHU 《数学学报(英文版)》2003,19(2):397-404
The L^2(R^n) boundedness for the multilinear singular integral operators defined by TAf(x)=∫R^nΩ(x-y)/|x-y|^n 1(A(x)-A(y)-△↓A(y)(x-y))f(y)dy is considered,where Ω is homogeneous of degree zero,integrable on the unit sphere and has vanishing moment of order one,A has derivatives of order one in BMO(R^n) boundedness for the multilinear operator TA is given. 相似文献
6.
In this paper, we obtain that a strongly singular integral operator is bounded on
space for 1 < p < ∞. We also obtain that a strongly singular integral operator is a bounded operator from
to
for some weight w and 0 < p ≤ 1. And by an atomic decomposition, we obtain that a strongly singular integral operator is a bounded operator on
for some w and 0 < p ≤ 1.
Supported by National 973 Program of China (Grant No. 19990751) 相似文献
7.
主要讨论带非光滑核的奇异积分算子T与函数b(b∈Lip_β)生成的多线性交换子是从L~p(X)到F_(p,A)~(mβ,∞)(X)有界的. 相似文献
8.
HanXU DaShanFAN MengWANG 《数学学报(英文版)》2004,20(3):441-452
In this paper, we shall study L^p-boundedness of two kinds of maximal operators related to some families of singular integrals. 相似文献
9.
Weighted Boundedness for a Class of Rough Multilinear Operators 总被引:8,自引:0,他引:8
In this paper we give the (L
p
(ω
p
), L
q
(ω
q
)) boundedness for a class of multilinear operators, which is simular to the higher-order commutator for the rough fractional
integral. In our results the kernel function is merely assumed on a size condition.
Received August 21, 2000, Accepted October 24, 2000 相似文献
10.
GuoEnHU BoLinMA 《数学学报(英文版)》2004,20(5):785-792
The commutators of singular integral operators with homogeneous kernel Ω(x)/|x|^n are studied, where Ω is homogeneous of degree zero, and has mean value zero on the unit sphere. It is proved that Ω∈ L(logL)^(k 1)(S^(n-1)) is a sufficient condition such that the k-th order commutator is bounded on L^2(R^n). 相似文献
11.
Singular Integrals and Commutators in Generalized Morrey Spaces 总被引:1,自引:0,他引:1
Lubomiea Softova 《数学学报(英文版)》2006,22(3):757-766
12.
研究了$\theta$型Calderon-Zygmund核的多线性奇异积分极大算子, 证明了这类极大算子的$L^{p}$-有界性. 相似文献
13.
Boundedness of commutators on homogeneous Herz spaces 总被引:9,自引:0,他引:9
The boundedness on homogeneous Herz spaces is established for a large class of linear commutators generated by BMO(R
n
) functions and linear operators of rough kernels which include the Calderón-Zygmund operators and the Ricci-Stein oRfiUatory
singular integrals with rough kernels.
Project supponed in pan by the National h’atural Science Foundation of China (Grant No. 19131080) and the NEDF of China. 相似文献
14.
The authors establish λ-central BMO estimates for commutators of singular integral operators with rough kernels on central Morrey spaces. Moreover, the boundedness of a class of multisublinear operators on the product of central Morrey spaces is discussed. As its special cases, the corresponding results of multilinear Calderon-Zygmund operators and multilinear fractional integral operators can be deduced, resDectivelv. 相似文献
15.
Let μ be a Radon measure on Rd which may be non–doubling. The only condition satisfied by μ is that μ(B(x, r)) ≤ Cr n for all x ∈ ? d , r > 0 and some fixed 0 < n ≤ d. In this paper, the authors prove that the boundedness from H 1(μ) into L 1,∞(μ) of a singular integral operator T with Calderón–Zygmund kernel of Hörmander type implies its L 2(μ)–boundedness. 相似文献
16.
In this note, the authors prove that the commutator generated by θ-type Calderón-Zygmund operator T and a Lipschitz function is bounded from L
p
(R
n
) into (R
n
) and also maps from (R
n
) into BMO (R
n
).
Supported by NSFC(10571014), NSFC(10571156), the Doctor Foundation of Jxnu (2443), the Natural Science Foundation of Jiangxi
province(2008GZS0051). 相似文献
17.
Yin Sheng JIANG Ming Ju LIU Lin TANG 《数学学报(英文版)》2005,21(3):577-584
Some estimates for the convolution operators with kernels of type (l, r) on Lebesgue spaces with power weights and Herz-type spaces in the setting of homogeneous groups are established. 相似文献
18.
Area integral functions are introduced for sectorial operators on Hilbert spaces. We establish the equivalence relationship between the square and area integral functions. This immediately extends McIntosh/Yagi's results on H∞ functional calculus of sectorial operators on Hilbert spaces to the case when the square functions are replaced by the area integral functions. 相似文献
19.
Boundedness of Some Maximal Commutators in Hardy-type Spaces with Non-doubling Measures 总被引:1,自引:0,他引:1
Guo En HU Yan MENG Da Chun YANG 《数学学报(英文版)》2007,23(6):1129-1148
Let μ be a non-negative Radon measure on R^d which satisfies only some growth conditions. Under this assumption, the boundedness in some Hardy-type spaces is established for a class of maximal Calderón-Zygmund operators and maximal commutators which are variants of the usual maximal commutators generated by Calder6ón- Zygmund operators and RBMO(μ) functions, where the Hardytype spaces are some appropriate subspaces, associated with the considered RBMO(μ) functions, of the Hardv soace H^I(μ) of Tolsa. 相似文献
20.
Paweł Kolwicz 《Proceedings Mathematical Sciences》2001,111(3):319-336
The geometry of Calderón-Lozanowskii spaces, which are strongly connected with the interpolation theory, was essentially developing
during the last few years (see [4, 9, 10, 12, 13, 17]). On the other hand many authors investigated property (β) in Banach spaces (see [7, 19, 20, 21, 25, 26]). The first aim of this paper is to study property (β) in Banach function lattices. Namely a criterion for property (β) in Banach function lattice is presented. In particular we get that in Banach function lattice property (β) implies uniform monotonicity. Moreover, property (β) in generalized Calderón-Lozanowskii function spaces is studied. Finally, it is shown that in Orlicz-Lorentz function spaces
property (β) and uniform convexity coincide. 相似文献