Geodesic
Dual of the Class of HK Integrable Functions
Minimax theory and its applications, Tome 4 (2019) no. 1
Cet article a éte moissonné depuis la source Minimax Theory and its Applications website

Voir la notice de l'article

We define for 1 r < a norm for the class of functions which are Henstock-Kurzweil integrable in the Lr sense. We then establish that the dual in this norm is isometrically isomorphic to Lr′ 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.
Mots-clés : Lr-Henstock-Kurzweil integral, HKr-dual, HKr-norm 
@article{MTA_2019_4_1_a8,
     author = {Paul Musial,Francesco Tulone},
     title = {Dual of the {Class} of {HK} {Integrable} {Functions}},
     journal = {Minimax theory and its applications},
     year = {2019},
     volume = {4},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/MTA_2019_4_1_a8/}
}
TY  - JOUR
AU  - Paul Musial,Francesco Tulone
TI  - Dual of the Class of HK Integrable Functions
JO  - Minimax theory and its applications
PY  - 2019
VL  - 4
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MTA_2019_4_1_a8/
ID  - MTA_2019_4_1_a8
ER  - 
%0 Journal Article
%A Paul Musial,Francesco Tulone
%T Dual of the Class of HK Integrable Functions
%J Minimax theory and its applications
%D 2019
%V 4
%N 1
%U http://geodesic.mathdoc.fr/item/MTA_2019_4_1_a8/
%F MTA_2019_4_1_a8
Paul Musial,Francesco Tulone. Dual of the Class of HK Integrable Functions. Minimax theory and its applications, Tome 4 (2019) no. 1. http://geodesic.mathdoc.fr/item/MTA_2019_4_1_a8/