Strongly norm-attaining Lipschitz maps

  1. Chiclana Vega, Rafael
Zuzendaria:
  1. Miguel Martín Suárez Zuzendaria

Defentsa unibertsitatea: Universidad de Granada

Fecha de defensa: 2021(e)ko martxoa-(a)k 18

Epaimahaia:
  1. Gilles Godefroy Presidentea
  2. Ginés López Pérez Idazkaria
  3. Rafael Payá Albert Kidea
  4. Gilles Lancien Kidea
  5. Eva Pernecká Kidea
Saila:
  1. ANÁLISIS MATEMÁTICO

Mota: Tesia

Teseo: 649135 DIALNET lock_openDIGIBUG editor

Laburpena

We study the possibility of approximating every Lipschitz map by Lipschitz maps which attain their Lipschitz constant. That is, we study the denseness of the set LipSNA(M, Y) of strongly norm-attaining Lipschitz maps in the space Lip0(M; Y ) of all Lipschitz maps from a (complete pointed) metric space M to a Banach space Y . A Lipschitz map f : M → Y is said to strongly attain its (Lipschitz) norm if there are distinct points p, q ∈ M