Global weighted inequalities for operators and harmonic forms on manifolds

In this paper, both the local and global weighted Sobolev–Poincaré imbedding inequalities and Poincaré inequalities for the composition <f>T∘G</f> are established, where <f>T</f> is the homotopy operator and <f>G</f> is Green''s operator applied to <f>A</f>-harmonic forms on manifolds. [Copyright &y& Elsevier]