English

Nuclear Volterra composition operators between Bloch and weighted type spaces

Functional Analysis 2022-12-01 v1

Abstract

In this paper, we completely characterize nuclear Volterra composition operators Tgϕ:HνHμT^\phi_g : \mathcal H^\infty_\nu \longrightarrow \mathcal H^\infty_\mu and Sgϕ:HνHμS^\phi_g : \mathcal H^\infty_\nu \longrightarrow \mathcal H^\infty_\mu acting between weighted type spaces in terms of the symbols gg and ϕ\phi of TgϕT^\phi_g and SgϕS^\phi_g and weights ν\nu and μ\mu, when the weights ν\nu and μ\mu are normal weights in the sense of Shields and Williams. Moreover, nuclear Volterra composition operators acting between little weighted type spaces and Bloch spaces of order β\beta are also characterized.

Cite

@article{arxiv.2211.16755,
  title  = {Nuclear Volterra composition operators between Bloch and weighted type spaces},
  author = {Aakriti Sharma and Ajay K. Sharma},
  journal= {arXiv preprint arXiv:2211.16755},
  year   = {2022}
}
R2 v1 2026-06-28T07:17:47.224Z