Weighted Imbedding Theorems in the Space of Differential Forms

We prove Ar -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 Lp D ∧l to the Sobolev space W 1 p D ∧l−1 l = 1 2 n, and to establish the basic weighted Lp-estimates for differential forms