English

Duality in a stability problem for some functionals arising in interpolation theory

Functional Analysis 2019-02-25 v1

Abstract

By using duality, it is shown that there exist near-minimizers for the distance functionals for the couple (L,Lp)(L^\infty, L^p), 1<p<1<p<\infty, that are stable under the action of singular integral operators.

Keywords

Cite

@article{arxiv.1902.08541,
  title  = {Duality in a stability problem for some functionals arising in interpolation theory},
  author = {Anton Tselishchev},
  journal= {arXiv preprint arXiv:1902.08541},
  year   = {2019}
}

Comments

6 pages

R2 v1 2026-06-23T07:48:19.775Z