共查询到19条相似文献,搜索用时 15 毫秒
1.
主要证明了由参数型Marcinkiewicz积分M~p和Lipschitz函数b生成的交换子M_b~p的有界性.在M的核满足一定的条件下,证明了M_b~p不仅从Lebesgue空间L~(n/(n-β))(μ)到Hardy空间H~1(μ)有界,而且从Lebesgue空间L~(n/β)(μ)到RBMO(μ)有界. 相似文献
2.
Boundedness of higher order commutators of generalized fractional integral operators on Hardy spaces
Chunlei He Lisheng Shu 《分析论及其应用》2005,21(3):249-257
Let Tμ,b,m be the higher order commutator generated by a generalized fractional integral operator Tμ and a BMO function b. In this paper, we will study the boundedness of Tμ,b,m on classical Hardy spaces and Herz-type Hardy spaces. 相似文献
3.
In this paper, the authors study the boundedness of the operator [μΩ, b], the commutator generated by a function b ∈ Lipβ(Rn)(0 <β≤ 1) and the Marcinkiewicz integrals μΩ, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈ Lipα(Sn-1)(0 <α≤ 1). 相似文献
4.
In this paper, we discuss the boundedness of Marcinkiewicz integral μΩ with homogeneous kernel on the weighted Herz-type Hardy spaces, and prove that μΩ is bounded from H K αq ,p ( w1 ; w2 ) into Kαq ,p (w 1; w2). 相似文献
5.
Under the assumption that μ is a non-doubling measure on Rdwhich only satisfies the polynomial growth condition,the authors obtain the boundedness of the multilinear fractional integrals on Morrey spaces,weak-Morrey spaces and Lipschitz spaces associated with μ,which,in the case when μ is the d-dimensional Lebesgue measure,also improve the known results. 相似文献
6.
Baode Li Yinsheng Jiang Hui Cao 《分析论及其应用》2007,23(2):138-146
In the paper we obtain vector-valued inequalities for Calderon-Zygmund operator,simply CZO On Herz space and weak Herz space.In particular,we obtain vector-valued inequalities for CZO on Lq(Rd,│x│αdμ)space,with 1<q<∞,-n<α<n(q-1),and on L1,∞(Rd,│x│αdμ)space,with -n<α<0. 相似文献
7.
证明了一类分数次算子的HK_q_1~(a,p)(w_1;w_2~q1)到K_q_2~(a,p)(w_1;w_2~q2)和HK_q_1~a_1~p(1,x~(βq_1)到K_q_2~a_1~p(1,x~(βq_2)的有界性. 相似文献
8.
In this paper the boundedness properties of multilinear singular and fractional integrals on the weighted Hardy spaces are studied. 相似文献
9.
设TΩ,α是带变量核Ω的分数次积分算子,通过加强核的条件,并利用Hardy空间的原子分解技术,建立了TΩ,α(0<α<n)从Hardy空间到Lq(Rn)空间的有界性.推广了相关文献的结论. 相似文献
10.
利用加权Herz型Hardy空间的原子分解理论,讨论了广义分数次积分算子Tl从加权Lp空间到加权Lq空间,以及从加权Herz型Hardy空间到加权Herz空间的有界性问题.将已有的分数次积分算子的结论推广到广义分数次积分算子的情形. 相似文献
11.
Jing-shi XU Department of Mathematics Hunan Normal University Changsha China 《中国科学A辑(英文版)》2007,50(3):361-376
The boundedness in Lebesgue spaces for commutators generated by multilinear singular integrals and RBMO(μ) functions of Tolsa with non-doubling measures is obtained, provided that‖μ‖=∞and multilinear singular integrals are bounded from L1(μ)×L1(μ)to L1/2,∞(μ). 相似文献
12.
Yuxian Zheng 《分析论及其应用》2006,22(2):136-140
In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p(R^n) into the Lebesgue space L^p with p 〈 1. 相似文献
13.
在测度μ仅满足多项式增长性条件的假设下,证明了Marcinkiewicz积分算子M与Lipβ(μ)函数b生成的交换子Mb具有(H1(μ), Ln/(n?β)(μ))有界性,同时得到Mb的(Ln/β(μ), RBMO(μ))有界性. 相似文献
14.
Yinsheng Jiang Lin Tang 《分析论及其应用》2005,21(4):301-310
In this paper, the authors establish some characterizations of Herz-type Hardy spaces HKα,p q(G) and HKq,p q(G), where 1 < q <∞, Q(1 - 1/q) ≤α<∞, 0 < p <∞ and G denotes a graded homogeneous Lie group. 相似文献
15.
Zheng Yang Jiacheng Lan 《分析论及其应用》2006,22(1):81-90
The authors discuss Lipschitz boundedness for a class of fractional multilinear operators with variable kernels. It is obtained that these operators are both Lipschitz bounded from Lp to Hq. 相似文献
16.
Pu Zhang Jiukun Hua 《分析论及其应用》2005,21(3):226-234
Let T be the multiplier operator associated to a multiplier m, and [b, T] be the commutator generated by T and a BMO function b. In this paper, the authors have proved that [b,T] is bounded from the Hardy space H^1(R^n) into the weak L^1 (R^n) space and from certain atomic Hardy space Hb^1 (R^n) into the Lebesgue space L^1 (R^n), when the multiplier m satisfies the conditions of Hoermander type. 相似文献
17.
Lisheng Shu Rulong Xie 《分析论及其应用》2007,23(3):201-212
Let μmΩ,b be the higher order commutator generated by Marcinkiewicz integral μΩ and a BMO(Rn) function b(x). In this paper, we will study the continuity ofμΩ and μmΩ,b on homogeneous Morrey-Herz spaces. 相似文献
18.
Tao Guiping 《分析论及其应用》2005,21(1):73-89
In this paper, the author establishes the boundedness of multilinear operators on weighted Herz spaces and Herz-type Hardy spaces. The author also obtains their weak estimates on endpoints. As a special case, the conclusions may lead to the weighted estimates for multilinear Calderon-Zygmund operators. 相似文献
19.
Donggao Deng Yanbo Xu Lixin Yan 《分析论及其应用》2006,22(1):41-55
Let X be a space of homogeneous type with finite measure. Let T be a singular integral operator which is bounded on Lp (X), 1 < p <∞. We give a sufficient condition on the kernel k(x,y) of Tso that when a function b ∈ BMO (X) ,the commutator [b, T] (f) = T (b f) - bT (f) is aounded on spaces Lp for all p, 1 < p <∞. 相似文献