Higher integrability of Green's operator and homotopy operator

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• 作者：Yuming Xing^a ; ^{xyuming@hit.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Shusen Ding^b ; ^{sding@seattleu.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Higher integrability ; Imbedding theorems ; Differential forms ; Homotopy operator ; Green's operator
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：446
• 期：1
• 页码：648-662
• 全文大小：372 K

文摘

We prove the higher integrability and higher order imbedding theorems of the composition of homotopy operator and Green's operator. We also study analogues of the homotopy operator and Green's operator, respectively.