TWO-WEIGHT NORM INEQUALITY FOR IMAGINARY POWERS OF A LAPLACE OPERATOR  

作　　者：Jianlin ZHANG Department of Mathematics and Physics,Zhongyuan Institute of Technology,Zhengzhou 450007,China Department of Mathematics,Beijing Institute of Technology,Beijing 100081,China. 

出　　处：《Journal of Systems Science & Complexity》2006年第3期403-408,共6页系统科学与复杂性学报（英文版）

摘　　要：We study two-weight norm inequality for imaginary powers of a Laplace operator in R^n, n ≥ 1, especially from weighted Lebesgue space Lv^p（R^n） to weighted Lebesgue space Lμ^p（R^n）, where 1 〈 p 〈 ∞. We prove that the two-weighted norm inequality holds whenever for some t 〉 1, （μ^t, v^t） ∈ Ap, or if （μ, v） ∈Ap, where μ and v^-1/（p-1） satisfy the growth condition and reverse doubling property.

关 键 词：Ap condition Laplace operator weighted norm inequality. 

分 类 号：O178[理学—数学]