  In this paper we consider unbounded weighted conditional type operators on
the space Lp, we give some conditions under which they are densely defined and
we obtain a dense subset of the domain. Also, we get that a WCT operator is
continuous if and only of it is every where defined. A description of polar
decomposition, spectrum and spectral radius in this context are provided.
Finally, we investigate hyperexpansive WCT operators on the Hilbert space L2.
As a consequence hyperexpansive multiplication operators are investigated.
