Generalized weighted composition operators from H∞ to the logarithmic Bloch space

In this paper, we give three different characterizations for the boundedness and compactness of generalized weighted composition operators from the space of bounded analytic function to the logarithmic Bloch space.

On the Two Questions of Lohwater and Piranian

The problem we are dealing with consists in the following: find the necessary and sufficient conditions for the zero measure subset of the circumference at which points the bounded analytic function has no radial limits.

Bounded analytic functions and the little Bloch space

The radial limits of the weighted derivative of an bounded analytic function is considered.

A discrete analogue of the Paley-Wiener theorem for bounded analytic functions in a half plane

In this note we prove a discrete analogue to the following Paley–Weiner theorem: Let f be the restriction to the line of a bounded analytic function in the upper half plane; then the spectrum of f is contained in ([0, ∈). The discrete analogue of complex analysis is the theory of discrete analytic functions invented by Lelong-Ferrand (1944) and developed by Duffin (1956) and others.