This paper introduces a novel class of operators in semi-Hilbertian spaces, termed class Ak# operators, which generalizes the well-studied A-hyponormal operators and extends recent developments in operator theory. We define an operator Γ to belong to the class Ak#  if there exists a positive integer k such that  Γ#k Γk ≥A (ΓΓ#)k Central to this work is the exploration of fundamental properties of this class , its relationship to other operator families. We provide concrete examples to demonstrate the non-triviality and applicability of this class, alongside an in-depth analysis of its stability under tensor product operations. Specifically, we establish sufficient conditions under which the tensor product of two class Ak#  operators preserves the class property. These contributions not unify and extend prior results on operator classes but also offer new insights into their structural and functional.