Kobra Esmaeili - Faculty of Engineering, Ardakan University, P.O. Box ۱۸۴, Ardakan, Iran.

Let $ mathcal{H}(mathbb{D}) $ denote the space of analytic functions on the open unit disc $mathbb{D}$. For a weight $mu$ and a nonnegative integer $n$, the $n$ th weighted type space $ mathcal{W}_mu ^{(n)} $ is the space of all $fin mathcal{H}(mathbb{D}) $ such that $sup_{zin mathbb{D}}mu(z)left|f^{(n)}(z)right|

Essential norms, Generalized weighted composition operators, Logarithmic Bloch type spaces, $N$th weighted type spaces