Weighted Poincar´e-Type Inequalities for Differential Forms in Ls m.-Averaging Domains

We first introduce a new class of weighted functions and obtain some basic properties of this class. Then, as applications of this class, we prove local weighted integral inequalities for differential forms. Finally, we obtain the global weighted integral inequalities for differential forms in Ls m.-averaging domains which can be considered as generalizations of the Poincar´e inequality for Sobolev functions