TWO-WEIGHT IMBEDDING THEOREMS IN THE SPACE OF DIFFERENTIAL FORMS  

作　　者：Tong Yuxia Gao Hongya Gu Jiantao 

机构地区：[1]College of Science, Hebei Polytechnic University, Tangshan 063009, Hebei [2]College of Math. and Computer Science, Hebei University, Baoding 071002, Hebei

出　　处：《Annals of Differential Equations》2007年第3期342-351,共10页微分方程年刊（英文版）

基　　金：The research supported by National Natural Science Foundation of China (A0324610);Scientific Research Foundation of Hebei Polytechnic University (200520).

摘　　要：We prove two-Ar^λ（Ω）-weighted imbedding theorems for differential forms. These results can be used to study the weighted norms of the homotopy operator T from the Banach space LV（D, ∧^l） to the Sobolev space W^1,p（D, ∧^l-1）, l = 0, 1,..., n, and to establish the weighted L^p-estimates for differential forms. Finally, we give some applications of the above results to quasiregular mappings.We prove two-Ar^λ（Ω）-weighted imbedding theorems for differential forms. These results can be used to study the weighted norms of the homotopy operator T from the Banach space LV（D, ∧^l） to the Sobolev space W^1,p（D, ∧^l-1）, l = 0, 1,..., n, and to establish the weighted L^p-estimates for differential forms. Finally, we give some applications of the above results to quasiregular mappings.

关 键 词：A-harmonic equation TWO-WEIGHT imbedding theorems quasiregular mapping 

分 类 号：O174.3[理学—数学]