Nonlocal convolution type functionals and related Orlicz spaces
Functional Analysis
2026-03-03 v1 Mathematical Physics
math.MP
Abstract
In the paper we introduce Orlicz type functional spaces defined in terms of nonlocal convolution type integral functionals and study the main properties of these spaces. We show in particular that, under natural convexity and growth conditions on the integrand, the corresponding spaces are Banach and separable. We also characterize the dual spaces and provide a number of examples.
Keywords
Cite
@article{arxiv.2603.00645,
title = {Nonlocal convolution type functionals and related Orlicz spaces},
author = {Denis Borisov and Andrey Piatnitski},
journal= {arXiv preprint arXiv:2603.00645},
year = {2026}
}