Elke Wolf

TL;DR: In this paper, the authors consider differences of composition operators between given weighted Banach spaces or Hv0 of analytic functions with weighted sup-norms and give estimates for the distance of these differences to the space of compact operators.

TL;DR: In this article, the essential norm of differences of composition operators acting on Bloch-type spaces has been derived for analytic functions with weighted sup-norms, and the authors apply their result to estimate the fundamental norm of these differences.

TL;DR: For every open subset G of N and for every continuous, strictly positive weight v on G, the Banach space of all the holomorphic functions f on G such that v|f| vanishes at infinity on G endowed with the natural weighted sup-norm, is isomorphic to a closed subspace of c 0.

TL;DR: In this article, the authors characterize weighted composition operators on weighted Banach spaces of holomorphic functions of type H ∞ which are an isometry, and characterize the weighted composition operator on weighted BSPs.

TL;DR: In this paper, the boundedness of weighted composition operators acting between weighted Bergman spaces was studied and the authors showed that weighted composition operator is bounded in the sense that it is bounded by