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Imbedding theorems in Orlicz–Sobolev space of differential forms

✍ Scribed by Ding, Shusen; Xing, Yuming


Book ID
122196224
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
396 KB
Volume
96
Category
Article
ISSN
0362-546X

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Weighted Imbedding Theorems in the Space
✍ Shusen Ding 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 101 KB

We prove A r -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 D ∧ l-1 l = 1 2 n, and to establish the basic weighted L p -estimates for differential forms.