فهرست نشریات علمی دسترسی آزاد ایران

Let $\mathcal{H}_\mu=(\mu_{n+k})_{n,k\geq0}$ with entries $\mu_{n,k}=\mu_{n+k}$ induces the operator $\mathcal{H}_\mu(f)(z)=\sum_{n=0}^{\infty}\left(\sum_{k=0}^{\infty}\mu_{n,k}a_k\right)z^n$ on the space of all analytic functions $f(z)=\sum_{n=0}^{\infty}a_nz^n$ in the unit disk $\mathbb{D}$, where $\mu$ is a positive Borel measure on the interval $[0, 1)$. In this paper, we characterize the boundedness and compactness of the operator $\mathcal{H}_\mu$ on Zygmund type spaces.