English

Nuclear Weighted composition operators between different $L^p$-spaces

Functional Analysis 2026-03-24 v1

Abstract

We provide complete characterisations of nuclear weighted composition operators between two distinct Lp(μ)L^p(\mu)-spaces, where 1p<1\leq p<\infty. As a consequence, when the underlying measure space is non-atomic, the only nuclear weighted composition operator between Lp(μ)L^p(\mu)-spaces is the zero operator.

Keywords

Cite

@article{arxiv.2603.20681,
  title  = {Nuclear Weighted composition operators between different $L^p$-spaces},
  author = {S. Al Ghafri and Y. Estaremi and S. Shamsigamchi},
  journal= {arXiv preprint arXiv:2603.20681},
  year   = {2026}
}

Comments

9 pages

R2 v1 2026-07-01T11:31:07.261Z