Nonlocal convolution type functionals and related Orlicz spaces

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Denis Borisov, Andrey Lvovich Piatnitski
DOI: 10.48550/arxiv.2603.00645
Cited by: 0

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.

Fields of Study & Subjects

Advanced Banach Space Theory Mathematical Inequalities and Applications Advanced Harmonic Analysis Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
28 February 2026
Language
EN
Document type
Preprint