Dual of the Class of HKr Integrable Functions

Francesco Tulone, Paul Musial

Risultato della ricerca: Articlepeer review

6 Citazioni (Scopus)


We define for 1 <= r < infinity a norm for the class of functions which are Henstock-Kurzweil integrable in the L-r sense. We then establish that the dual in this norm is isometrically isomorphic to L-r' and is therefore a Banach space, and in the case r = 2, a Hilbert space. Finally, we give results pertaining to convergence and weak convergence in this space.
Lingua originaleEnglish
pagine (da-a)151-160
Numero di pagine10
RivistaMinimax Theory and its Applications
Stato di pubblicazionePublished - 2019

All Science Journal Classification (ASJC) codes

  • ???subjectarea.asjc.2600.2603???
  • ???subjectarea.asjc.2600.2606???
  • ???subjectarea.asjc.2600.2605???


Entra nei temi di ricerca di 'Dual of the Class of HKr Integrable Functions'. Insieme formano una fingerprint unica.

Cita questo