| TWO-WEIGHT IMBEDDING THEOREMS IN THE SPACE OF DIFFERENTIAL FORMS |
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| 引用本文： | Tong Yuxia~1 Gao Hongya~2 Gu Jiantao~1 (1.College of Science,Hebei Polytechnic University,Tangshan 063009,Hebei,2.College of Math.and Computer Science,Hebei University,Baoding 071002,Hebei). TWO-WEIGHT IMBEDDING THEOREMS IN THE SPACE OF DIFFERENTIAL FORMS[J]. Annals of Differential Equations, 2007, 23(3): 342-351 |
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| 作者姓名： | Tong Yuxia~1 Gao Hongya~2 Gu Jiantao~1 (1.College of Science Hebei Polytechnic University Tangshan 063009 Hebei 2.College of Math.and Computer Science Hebei University Baoding 071002 Hebei) |
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| 作者单位： | 1.College of Science，Hebei Polytechnic University，Tangshan 063009，Hebei;2.College of Math.and Computer Science，Hebei University，Baoding 071002，Hebei |
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| 基金项目： | The research supported by National Natural Science Foundation of China (A0324610)，Scientific Research Foundation of Hebei Polytechnic University (200520). |
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| 摘 要： | We prove two-A_r~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 L~P(D,∧~l) to the Sobolev space W~(1,p)(∧~(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.
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| 关 键 词： | A-调和方程 嵌入定理 拟正则映射 微分形式 |
TWO-WEIGHT IMBEDDING THEOREMS IN THE SPACE OF DIFFERENTIAL FORMS |
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| Tong Yuxia Gao Hongya Gu Jiantao. TWO-WEIGHT IMBEDDING THEOREMS IN THE SPACE OF DIFFERENTIAL FORMS[J]. 微分方程年刊(英文版), 2007, 23(3): 342-351 |
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| Authors: | Tong Yuxia Gao Hongya Gu Jiantao |
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| Affiliation: | [1]College of Science, Hebei Polytechnic University, Tangshan 063009, Hebei [2]College of Math. and Computer Science, Hebei University, Baoding 071002, Hebei |
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| Abstract: | |
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| Keywords: | A-harmonic equation two-weight imbedding theorems quasiregular mapping |
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