A new class of function spaces generalizing the Arias-de-Reyna space
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915835456520192 |
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| author | Moldavčuk, Jan |
| author_facet | Moldavčuk, Jan |
| contents | This paper studies the structure and properties of a rearrangement-invariant quasi-Banach space $QA_{φ,ψ}$ which generalizes the classical space $QA$ introduced by Arias-de-Reyna in connection with the study of the pointwise almost everywhere convergence of Fourier series. We present basic properties of $QA_{φ,ψ}$ and explore the relationship between $QA_{φ,ψ}$ and other rearrangement-invariant Banach spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04629 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A new class of function spaces generalizing the Arias-de-Reyna space Moldavčuk, Jan Functional Analysis This paper studies the structure and properties of a rearrangement-invariant quasi-Banach space $QA_{φ,ψ}$ which generalizes the classical space $QA$ introduced by Arias-de-Reyna in connection with the study of the pointwise almost everywhere convergence of Fourier series. We present basic properties of $QA_{φ,ψ}$ and explore the relationship between $QA_{φ,ψ}$ and other rearrangement-invariant Banach spaces. |
| title | A new class of function spaces generalizing the Arias-de-Reyna space |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2603.04629 |