The indices of central simple algebras over function fields of projective spaces over $P_{n,r}$-fields

$K$ be a field of characteristic zero and $\operatorname{Br}K$ its Brauer group. Bounds for the indices of elements of $\operatorname{Br}K$ depending on their exponents are obtained for function fields $K$ of projective spaces and projective curves defined over a $P_{n,r}$-fields.