تقرير
An extension of the Cartwright-McMullen theorem in fractional calculus for the smooth Stieltjes case
| العنوان: | An extension of the Cartwright-McMullen theorem in fractional calculus for the smooth Stieltjes case |
|---|---|
| المؤلفون: | Labora, Daniel Cao |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, Mathematics - Functional Analysis, 26A33, 26A42 |
| الوصف: | In 1976, Donald Cartwright and John McMullen characterized axiomatically the Riemann-Liouvile fractional integral in a paper that was published in 1978. The motivation for their work was to answer affirmatively to a conjecture stated by J. S. Lew a few years before, in 1972. Essentially, their ``Cartwright-McMullen theorem in fractional calculus'' proved that the Riemann-Liouville fractional integral is the only continuous extension of the usual integral operator to positive real orders, in such a way that the Index Law holds. In this paper, we propose an analogous result for the uniqueness of the extension of the Stieltjes integral operator, in the case of a smooth integrator. Comment: 7 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2309.07148 |
| رقم الأكسشن: | edsarx.2309.07148 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |