Hello,

i want to show, that $\displaystyle \int_{\left||x\right||\leq 1} \left|P(x)\right|^{-q}*\left|x\right|^{-M}dx <\infty$

Here P is a polynomial of order m in $\displaystyle \mathbb{R}^n$ and M,q are some constants.

We know that $\displaystyle \int_{\left||x\right||\leq 1} \left|P(x)\right|^{-q} <\infty$ for some constant q.

But why is the first integral finite?

Regards