  In this paper we consider the evolution equation $\partial_t u=\Delta_\mu
u+f$ and the corresponding Cauchy problem, where $\Delta_\mu$ represents the
Bessel operator $\partial_x^2+(\frac{1}{4}-\mu^2)x^{-2}$, for every $\mu>-1$.
We establish weighted and mixed weighted Sobolev type inequalities for
solutions of Bessel parabolic equations. We use singular integrals techniques
in a parabolic setting.
