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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.00645 |
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| _version_ | 1866914361263521792 |
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| author | Borisov, Denis Piatnitski, Andrey |
| author_facet | Borisov, Denis Piatnitski, Andrey |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_00645 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nonlocal convolution type functionals and related Orlicz spaces Borisov, Denis Piatnitski, Andrey Functional Analysis Mathematical Physics 46E30 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. |
| title | Nonlocal convolution type functionals and related Orlicz spaces |
| topic | Functional Analysis Mathematical Physics 46E30 |
| url | https://arxiv.org/abs/2603.00645 |