We investigate weighted composition operators that attain their norm on weighted Banach spaces of holomorphic functions on the unit disc of type H∞. Applications for composition operators on weighted Bloch spaces are given.

We characterize boundedness and compactness of weighted composition operators from the space of Cauchy integral transforms to logarithmic weighted-type spaces. We also manage to compute norm of weighted composition operators acting between these spaces.

This paper proves the existence and uniqueness of quadratic mean almost periodic mild so-lutions for a class of stochastic dierential equations in a real separable Hilbert space. Themain technique is based upon an appropriate composition theorem combined with the Banachcontraction mapping principle and an analytic semigroup of linear operators.  

Let A(D) denote the disk algebra and uCφ be the weighted composition operator on A(D). In this paper, we characterize the compactness of sum of weighted composition operators on A(D). Furthermore, we also find the norm of sum of weighted composition operators on A(D). Mathematics Subject Classification: 47B33

Note: Most SVRC technical reports are available via anonymous ftp, from ftp.cs.uq.edu.au in the directory /pub/SVRC/techreports. Abstract Operations in object-oriented systems are often a composition of other operations, deened across multiple objects. The aim of this paper is to formally develop a suite of composition operators for specifying object interaction through operation composition. E...

We consider a Hilbert space of entire analytic functions on non-separable space, associated with Fock space. show that under some conditions operators, like the differentiation operators and translation are topologically transitive in this