Generalized upper and lower Legendre conjugates for Braun-Meise-Taylor weight functions
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916754763022336 |
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| author | Schindl, Gerhard |
| author_facet | Schindl, Gerhard |
| contents | We apply recent knowledge and techniques of the new generalized upper and lower Legendre conjugates to the theory of weight functions in the sense of Braun-Meise-Taylor and study in detail the effects on the corresponding associated weight matrices. An immediate and concrete application of the main statements is also provided. More precisely, we generalize a very recent result concerning the continuity and the range of the resolvent operator when being considered on weighted spaces of globally defined functions of Gelfand-Shilov type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_17725 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized upper and lower Legendre conjugates for Braun-Meise-Taylor weight functions Schindl, Gerhard Functional Analysis 26A12, 26A48, 26A51, 46A13, 46E10, 47B33 We apply recent knowledge and techniques of the new generalized upper and lower Legendre conjugates to the theory of weight functions in the sense of Braun-Meise-Taylor and study in detail the effects on the corresponding associated weight matrices. An immediate and concrete application of the main statements is also provided. More precisely, we generalize a very recent result concerning the continuity and the range of the resolvent operator when being considered on weighted spaces of globally defined functions of Gelfand-Shilov type. |
| title | Generalized upper and lower Legendre conjugates for Braun-Meise-Taylor weight functions |
| topic | Functional Analysis 26A12, 26A48, 26A51, 46A13, 46E10, 47B33 |
| url | https://arxiv.org/abs/2505.17725 |