关于A_(r)^(λ_(3))(λ_(1),λ_(2);Ω)-权函数的性质及应用  

The property and application for A_(r)^(λ_(3))(λ_(1),λ_(2);Ω)-weight

作　　者：李群芳 李华灿[2] LI Qunfang;LI Huacan(Department of Mathematics,Gaczhoo Teachers Collegr,Gaczhoo 371000,China;School of Scienca,Jiangxi University of Scienca and Technology,Ganzhou 371000,China)

机构地区：[1]赣州师范高等专科学校数学系,赣州371000 [2]江西理工大学理学院,赣州371000

出　　处：《黑龙江大学自然科学学报》2020年第2期187-190,共4页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(11961030);江西省教育厅科技基金资助项目(GJJ191244,GJJ180446)。

摘　　要：利用广义Holder不等式及积分技巧,首先证明了双权函数集Ar^λ3(λ1,λ2;Ω)在r>1的条件下关于r的单调不减性。作为Ar^λ3(λ1,λ2;Ω)-权函数的应用,进一步证明了满足Dirac-调和方程的微分形式的加Ar^λ3(λ1,λ2;Ω)-权的范数不等式。若赋予特殊的参数,则可以得到经典权函数的相关结果。The property of monotonic nondecreasing is proved for the set of Ar^λ3(λ1,λ2;Ω)-two weights under the condition r>1 by generalized Holder inequality and some integral skills. As application of Ar^λ3(λ1,λ2;Ω)-weights, some norm inequalities with Ar^λ3(λ1,λ2;Ω)-weights are obtained which applies to differential forms that satisfying Dirac-harmonic equation. Some results with classical weights will be obtained if special parameters are chosen.

关 键 词：广义权函数 勒贝格测度 HOLDER不等式 参数 

分 类 号：O175.2[理学—数学]