论文信息 - A singular integral of the composite operator

A singular integral of the composite operator

We establish the Poincare-type inequalities for the composition of the homotopy operator and the projection operator. We also obtain some estimates for the integral of the composite operator with a singular density.

Bing Liu | Shusen Ding

[1] Weighted Poincaré-type estimates for conjugate-harmonic tensors , 2005 .

[2] S. Morita. Geometry of differential forms , 2001 .

[3] S. Ding,et al. Advances in differential forms and the A-harmonic equation , 2003 .

[4] Global Integrability Theorems for A-Harmonic Tensors , 2000 .

[5] Ls(μ)-averaging domains , 2003 .

[6] Adam Lutoborski,et al. Integral estimates for null Lagrangians , 1993 .

[7] Chad Scott,et al. theory of differential forms on manifolds , 1995 .

[8] S. Ding. Two-weight Caccioppoli inequalities for solutions of nonhomogeneous A-harmonic equations on Riemannian manifolds , 2004 .