Generalized upper and lower Legendre conjugates for Braun-Meise-Taylor weight functions
Functional Analysis
2025-05-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2505.17725,
title = {Generalized upper and lower Legendre conjugates for Braun-Meise-Taylor weight functions},
author = {Gerhard Schindl},
journal= {arXiv preprint arXiv:2505.17725},
year = {2025}
}
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34 pages