  In this paper, we present the idea of conditional quantization for a Borel
probability measure $P$ on a normed space $\mathbb R^k$. We introduce the
concept of conditional quantization in both constrained and unconstrained
scenarios, along with defining the conditional quantization errors, dimensions,
and coefficients in each case. We then calculate these values for specific
probability distributions. Additionally, we demonstrate that for a Borel
probability measure, the lower and upper quantization dimensions and
coefficients do not depend on the conditional set of the conditional
quantization in both constrained and unconstrained quantization.
