Weighted Differentiation Composition Operator from Logarithmic Bloch Spaces to Zygmund-Type Spaces

Let H() denote the space of all holomorphic functions on the unit disk of ℂ, u∈H() and let  n be a positive integer, φ a holomorphic self-map of , and μ a weight. In this paper, we investigate the boundedness and compactness of a weighted differentiation composition operator φ,unf(z)=u(z)f(n)(φ(z)),f∈H(), from the logarithmic Bloch spaces to the Zygmund-type spaces

Essential norm of an integral-type operator from ω-Bloch spaces to μ-Zygmund spaces on the unit ball

In this paper, we give an estimate for the essential norm of an integral-type operator from $\omega$-Bloch spaces to $\mu$-Zygmund spaces on the unit ball

Generalized Stević-Sharma type operators from derivative Hardy spaces into Zygmund-type spaces

Let $u, v$ be two analytic functions on the open unit disk ${\mathbb D}$ in the complex plane, $\varphi$ an analytic self-map of ${\mathbb D}$, and $m, n$ nonnegative integers such that m < n . In this paper, we consider the generalized Stević-Sharma type operator $T_{u, v, \varphi}^{m, n}f(z) = u(z)f^{(m)}(\varphi(z))+v(z)f^{(n)}(\varphi(z))$ acting from the derivative Hardy spaces into Zygmund-type spaces, and investigate its boundedness, essential norm and compactness

Stevi\'c-Sharma type operators between Bergman spaces induced by doubling weights

Using Khinchin's inequality, Ger\check{\mbox{s}}gorin's theorem and the atomic decomposition of Bergman spaces, we estimate the norm and essential norm of Stevi\'c-Sharma type operators from weighted Bergman spaces $A_\omega^p$ to $A_\mu^q$ and the sum of weighted differentiation composition operators with different symbols from weighted Bergman spaces $A_\omega^p$ to $H^\infty$.The estimates of those between Bergman spaces remove all the restrictions of a result in [Appl. Math. Comput.,{\bf 217}(2011),8115--8125]. As a by-product, we also get an interpolation theorem for Bergman spaces induced by doubling weights

Spaces to Bloch-Type Spaces

We study the boundedness and compactness of the products of composition and differentiation operators from Q K p, q spaces to Bloch-type spaces and little Bloch-type spaces

Logarithmic Bergman-type space and a sum of product-type operators

One of the aims of the present paper is to obtain some properties about logarithmic Bergman-type space on the unit ball. As some applications, the bounded and compact operators $\mathfrak{S}^m_{\vec{u}, {\varphi}} = \sum_{i = 0}^{m}M_{u_i}C_{\varphi}\Re^{i}$ from logarithmic Bergman-type space to weighted-type space on the unit ball are completely characterized

Compact generalized weighted composition operators on the Bergman space

We characterize the compactness of the generalized weighted composition operators acting on the Bergman space