In this paper, we will prove some new dynamic Hardy-type inequalities on time scales with two different weighted functions. The study is to determine conditions on which the generalized inequalities hold using some known hypothesis. The main results will be proved by employing Hlder's inequality,...
利用Sobolev-Hardy不等式和山路引理,讨论了一类包含奇性权p-Laplace方程在具有光滑边界开集上正解的存在性。 3. We use the decomposition of the filtration of the Nehair manifold via the variation of domain shape and Sobolev-Hardy inequality. 利用Nehair流形的过滤分解以及Sobolev-Hardy不等式证明下述问题的...
We establish necessary and sufficient conditions for a domain \({\Omega \subset \mathbb{R}^n}\) to admit the ( p , β )-Hardy inequality \({\int_{\Omega} |u|^p d_{\Omega}^{\beta-p} \leq C \int_{\Omega} |abla u|^p d_{\Omega}^\beta}\) , where d ( x ) = dist...
An inequality of Hardy type is established for quadratic forms involving Dirac operator and a weight r b for functions in . The exact Hardy constant c b = c b (n) is found and generalized minimizers are given. The constant c b vanishes on a countable set of b, which extends ...
Weighted integral inequalities for the Hardy type operator and the fractional maximal operator - LAI - 1994 () Citation Context ... The first result (Theorem 2.1) by Q. Lai [19] is a weight characterization of the Hardy-type operator for which a weighted modular inequality is satisfied. ...
E. T. Sawyer showed that theHardy-type inequality Tf Luq C f Lvp could be characterized by three independentconditions on the weights. We give a simple proof of the fact thatif the weight v is of product type, then in fact only onecondition is needed. Moreover, by using this ...
4) two-weight inequality 双权不等式 例句>> 5) Hardy's inequality with weight 加权Hardy不等式6) weighted norm inequality 加权范数不等式补充资料:欧洲式期权、美国式期权与亚洲式期权 欧洲式期权、美国式期权与亚洲式期权 【欧洲式期权、美国式期权与亚洲式期权】期权合约所规定的权利有一定的时效期,过...
4) weighted norm inequality 权模不等式 1. With the non_negative Locally integrable weighted funciton,the weighted norm inequalityof theta(t)_type oscillatory singular integral operators is proved,and the weighted function has replaced by action of Hardy_Littlewood maximal operators several times. ...
Hardy-Hilbert不等式 1. On the generalized Hardy-Hilbert inequality 关于推广的Hardy-Hilbert不等式 2. This paper deals with the refinement of the Hardy-Hilbert inequality for double series. 研究关于重级数型Hardy-Hilbert不等式改进的问题。 更多例句>> 5...
It is proved that the condition for such an inequality to hold coincides with the condition for the validity of two-weighted Hardy inequalities with constant exponents if we require of the exponents to be regular near zero and at infinity.关键词: Hardy operator Hardy inequality variable exponent ...