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 共查询到16条相似文献,搜索用时 62 毫秒
1.
本文运用Hardy空间的分子分解理论给出一个多线性积分算子的弱型(H^1,L^1)估计。  相似文献   

2.
Lp(Rn) boundedness is considered for the multilinear singular integral operator defined by TAf(x) = ∫Rn Ω(x - y)/|x - y|n 1 (A(x) - A(y) - (△)A(y)(x - y))f(y)dy,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(Rn). We give a smoothness condition which is fairly weaker than that Ω∈ Lipα(Sn-1) (0 <α≤ 1) and implies the Lp(Rn) (1 < p < oo) boundedness for the operator TA. Some endpoint estimates are also established.  相似文献   

3.
刘小华  陈瑜  南充 《应用数学》2001,14(1):8-14
对两类非线性双曲型方程组给出了全离散有限元逼近格式,并得到最优H^1模和L^2模误差估计。  相似文献   

4.
贺丹青 《数学进展》2022,(5):769-780
多线性奇异积分算子产生于调和分析、偏微分方程以及遍历论等领域的各类问题.本文将综述多线性奇异积分算子的一些最新进展,主要包括多线性Calderón-Zygmund算子、多线性H?rmander乘子以及一些相关问题.  相似文献   

5.
We obtain weighted distributional inequalities for multilinear commutators of the fractional integral on spaces of homogeneous type, The techniques developed in this work involve the behavior of some fractional maximal functions. In relation to these operators, as a main tool, we prove a weighted weak type boundedness result, which is interesting in itself.  相似文献   

6.
兰家诚 《数学进展》2006,35(6):712-720
研究了一类具有θ型Calderon-Zygmund核的多线性奇异积分算子的有界性,得到它们是从L1(Rn)到弱L1(Rn)有界的.  相似文献   

7.
研究了多线性分数次积分算子的迭代型交换子,给出了双权强型不等式的充分条件,即Fefferman -Phong型条件.对此迭代型交换子,还给出了Fefferman-Stein型加权不等式和Coifman型加权不等式.  相似文献   

8.
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   

9.
林燕 《东北数学》2007,23(6):505-512
Let G be a homogeneous group.In this paper,the author studies the boundedness of multi-sublinear operators on the product of weighted Lebesgue spaces on G.As its special case,the corresponding result of multilinear Calderón-Zygmund operators can be obtained.  相似文献   

10.
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   

11.
A weak type endpoint estimate for the maximal multilinear singular integral operator T*Af(x)=supε>0|(f)(x-y)>ε (Ω(x-y)/(|x-y|(n 1)))(A(x)-A(y)-▽A(y)(x-y))f(y)dy| is established, where Ω is homogeneous of degree zero, integrable on the unit sphere and has vanishing moment of order one, and A has derivatives of order one in BMO(Rn). A regularity condition on Ω which implies an LlogL type estimate of T*A is given.  相似文献   

12.
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.
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.
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   

15.
A Cotlar type inequality is established for the multilinear singular integral operators. As applications, some two-weight norm inequalities are obtained for the maximal operator corresponding to the multilinear singular integral operators.  相似文献   

16.
This work devoted to prove of uniqueness and existence of solution of the nonlocal problem with integral gluing condition for the loaded parabolic-hyperbolic type equation involving Caputo derivatives which loaded parts in Riemann-Liouville integral-differential operator. Using the method of integral energy, the uniqueness of solution have been proved. Existence of solution was proved by the method of integral equations.  相似文献   

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