Muckenhoup inequalities for $A$-harmonic tensors and projection operator

Details Muckenhoup inequalities for $A$-harmonic tensors and projection operator Muckenhoup inequalities for $A$-harmonic tensors and projection operator

2011-09-11

arxiv.org/abs/1109.2308v2

Mathematics

Complex Variables

This paper has been withdrawn

Scientific paper

In this paper we prove local Muckenhoupt-weighted Poincar\'{e} inequalities for $A$-harmonic tensors and the projection operator acted on $A$-harmonic tensors on domain $\Omega \subset \mathbb{R}^n$, $n\geq2$, Also we prove Muckenhoupt-weighted versions of the imbedding inequalities and the weak reverse H\"{o}lder inequality for solutions of the $A$-harmonic equations $d^{\star} A(x,d\omega)=0$.

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