排序方式: 共有6条查询结果,搜索用时 15 毫秒
1
1.
Wengu Chen Yixin Lai 《分析论及其应用》2006,22(2):195-200
Let μ be a Borel measure on Rd which may be non doubling. The only condition that μ must satisfy is μ(Q) ≤ col(Q)n for any cube Q () Rd with sides parallel to the coordinate axes and for some fixed n with 0 < n ≤ d. The purpose of this paper is to obtain a boundedness property of fractional integrals in Hardy spaces H1 (μ). 相似文献
2.
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
3.
Baoguo Jia 《分析论及其应用》2006,22(4):362-376
By means of the idea of [2](Jia Baoguo,J.Math.Anal.Appl.In press) and the self.similarity of Sierpinski carpet, we obtain the lower and upper bounds of the Hausdorff Measure of Sierpinski carpet, which can approach the Hausdorff Measure of Sierpinski carpet infinitely. 相似文献
4.
《Quaestiones Mathematicae》2013,36(3):287-294
We prove that every 2-summing operator from a Banach space X into an L 1-space is nuclear if and only if X is isomorphic to a Hilbert space. Then we study the class of Banach spaces X for which Π2(l 2, X) = N 1(l 2, X). 相似文献
5.
Zhiwei Zhu Zuoling Zhou Baoguo Jia 《分析论及其应用》2006,22(1):8-19
For the Sierpinski gasket, by using a sort of cover consisting of special regular hexagons, we define a new measure that is equivalent to the Hausdorff measure and obtain a lower bound of this measure. Moreover, the following lower bound of the Hausdroff measure of the Sierpinski gasket has been achieved H^s(S)≥0.670432,where S denotes the Sierpinski gasket, s = dimn(S) = log23, and H^s(S) denotes the s-dimensional Hausdorff measure of S. The above result improves that developed in . 相似文献
6.
RuanHuojun SuWeiyi 《分析论及其应用》2004,20(2):158-166
In this paper, we firstly define a decreasing sequence {P^n(S)} by the generation of the Sierpinski gasket where each P^n(S) can be obtained in finite steps. Then we prove that the Hausdorff measure H^8(S) of the Sierpinski gasket S can be approximated by {P^n(S)} with P^n(S)/(1 1/2^n-3)s ≤ H^8(S)≤ Pb(S).An algorithm is presented to get P^n(S) for n≤ 5. As an application, we obtain the best lower bound of H^8(S) till now: H^8(S) ≥ 0.5631. 相似文献
1