Abstract :
We prove new versions of Aλr
(Ω)-weighted imbedding inequalities for A-harmonic
tensors locally and globally. The results are used to estimate the integrals of a homotopy
operator T from the Banach space Ls(Ω,∧l ) to the Sobolev space W1,s(Ω,∧l−1),
l = 1, 2, . . . ,n, and Sobolev–Poincaré imbedding inequality with Aλr
(Ω) weight.
2002 Elsevier Science (USA). All rights reserved.
