共查询到20条相似文献,搜索用时 93 毫秒
1.
2.
In this paper,the conditions on pairs of weights(u,v)are given such that for the generalized Hardy operator Tf(x)=∫0^∞K(x,y)f(y)dy the following Φ-inequality holds:Φ2^-1(∫0^∞Φ2(Tf(x))V(x)dx≤CΦ1^-1(∫0^∞Φ1(f(x))U(x)dx),where Φ1,Φ2 are Young function;the corresponding weak type Φ-inequality for T is characterized. 相似文献
3.
广义Baskakov型算子的强逆不等式 总被引:1,自引:0,他引:1
齐秋兰 《纯粹数学与应用数学》2002,18(4):317-321
利用二阶Ditzian-Totik模考虑一类算子的强逆不等式,这类不等式曾经被许多者用不同的方法研究过。本文将采用一种统一的方法来处理一大类算子的强逆不等式,得到了它们的Ditzian-Ivanov结果。本方法适用于更广的算子。 相似文献
4.
关于一类向量场的Picone恒等式和Hardy不等式1 总被引:10,自引:0,他引:10
本文给出了构成Baouendi-Grushin算子 的向量场的Picone恒 式,由此导出了Hardy不等式.已有文献中得到的不等式成为本文结果的特殊情形。 相似文献
5.
6.
7.
8.
在采用Hoffmann-Ostenhof和Laptev构造权函数的思想,进行加权推广,给出了一类带齐次权的Hardy型不等式.利用Avkhadiev和Wirths得到的一维Hardy型不等式,运用放缩法,得到一类带余项的加权Hardy型不等式.获得的结论将HoffmannOstenhof和Laptev中的相关结论推广至加权与带余项的情形. 相似文献
9.
研究非凸区域上的Hardy型不等式.通过选取特殊的向量值函数以及仔细的分析与计算,得到了各向异性Heisenberg群上一类非凸区域上的Hardy不等式,更进一步得到了非凸区域上与Greiner型向量场相关的几类Hardy型不等式. 相似文献
10.
通过建立高阶椭圆算子Picone型恒等式,建立了比文献中更一般的Rellich不等式。 相似文献
11.
取插值基函数Pnk(x,α),导出推广的Bernstein算子Bn(α)(f,x)和推广的Bernstein-Kantorovich算子Kn(α)(f,x),并证明其收敛性. 相似文献
12.
For p>1,many improved or generalized results of the well-known Hardy's inequality have been established.In this paper,by means of the weight coefficient method,we establish the following Hardy type inequality for P=-1:n∑i=1(1/ii∑j=1aj)-1<2n∑i=1(1-π2-9/3i)ai-1,Cn such that the inequality ∑ni=1(1/i∑ij=1 aj)-1≤Cn∑ni=1ai-1 holds.Moreover,by means of the Mathematica software,we give some examples. 相似文献
13.
Li TANG 《数学年刊B辑(英文版)》2022,43(2):281-294
In this paper, the authors obtain the Dunkl analogy of classical L~p Hardy inequality for p>N+2γ with sharp constant((p-N-2γ)/p)~p, where 2γ is the degree of weight function associated with Dunkl operators, and L pHardy inequalities with distant function in some G-invariant domains. Moreover they prove two Hardy-Rellich type inequalities for Dunkl operators. 相似文献
14.
本文研究一类抽象广义双拟变分不等式和广义拟变分不等式问题,获得了解的存在性定理,改进推广了相关文献的一些主要结果. 相似文献
15.
In this paper.a characterizationis,obtained for those pairs of weight funetions on(0=∞) for which the Hardy operator Pf(x)=f(t)dt is bounded from (μ) to ,0
相似文献
16.
L. C. Ceng S. Schaible J. C. Yao 《Journal of Optimization Theory and Applications》2008,137(1):121-133
In this paper, we consider a generalized vector variational-like inequality problem (for short, GVVLIP), which includes generalized
vector variational inequalities, vector variational inequalities and classical variational inequalities as special cases.
The concepts of generalized C-pseudomonotone-like and generalized H-hemicontinuous-like operators are introduced. Some existence results for GVVLIP are obtained under the assumptions of generalized
C-pseudomonotone-like property and generalized H-hemicontinuous-like property. These results appear to be new and interesting. New existence results of the classical variational
inequality are also obtained.
In this research, the first author was partially supported by the Teaching and Research Award Fund for Outstanding Young Teachers
in Higher Education Institutions of MOE, China and the Dawn Program Foundation in Shanghai. The third author was partially
supported by Grant NSC 94-2213-E-110-035. 相似文献
17.
We prove some sharp Hardy inequality associated with the gradient ? ?? = (? x ,|x| ?? ? y ) by a direct and simple approach. Moreover, similar method is applied to obtain some weighted sharp Rellich inequality related to the Grushin operator in the setting of L p . We also get some weighted Hardy and Rellich type inequalities related to a class of Greiner type operators. 相似文献
18.
19.
Mean Value Theorem and Pohozaev Type Identities of Generalized Greiner Operator and Their Applications 下载免费PDF全文
In this paper, a fundamental solution at the origin and mean value theorem of generalized Greiner operator are given. Then the Hardy type inequality and some Pohozaev type identities are proved. As their applications, some nonexistence results of semilinear nonelliptic equation and unique continuation are discussed. 相似文献
20.
Some Hardy type inequalities on the ball and its complementary set in the Euclidean space are established by using the Picone type identity and constructing suitable auxiliary functions. 相似文献