6533b85dfe1ef96bd12bef60

RESEARCH PRODUCT

Dual of the Class of HKr Integrable Functions

P. MusialFrancesco Tulone

subject

Settore MAT/05 - Analisi MatematicaHKr-dualHKr-normL-r-Henstock-Kurzweil integral

description

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.

yearjournalcountryeditionlanguage
2019-01-01
http://hdl.handle.net/10447/423776