Extended Gevrey Regularity via Weight Matrices(Article)(Open Access)
- aDepartment of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Novi Sad, 21000, Serbia
- bDepartment of Fundamental Sciences, Faculty of Technical Sciences, University of Novi Sad, Novi Sad, 21000, Serbia
Abstract
The main aim of this paper is to compare two recent approaches for investigating the interspace between the union of Gevrey spaces (Formula presented.) and the space of smooth functions (Formula presented.). The first approach in the style of Komatsu is based on the properties of two parameter sequences (Formula presented.), (Formula presented.), (Formula presented.). The other one uses weight matrices defined by certain weight functions. We prove the equivalence of the corresponding spaces in the Beurling case by taking projective limits with respect to matrix parameters, while in the Roumieu case we need to consider a larger space than the one obtained as the inductive limit of extended Gevrey classes. © 2022 by the authors.
Funding details
| Funding sponsor | Funding number | Acronym |
|---|---|---|
| Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja | 200156,451-03-68/2022-14/200156,451-03-68/2022-14/200125 | MPNTR |
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1
This research was funded by Ministry of Education, Science and Technological Development, Republic of Serbia Projects No. 451-03-68/2022-14/200125 and 451-03-68/2022-14/200156.
- ISSN: 20751680
- Source Type: Journal
- Original language: English
- DOI: 10.3390/axioms11100576
- Document Type: Article
- Publisher: MDPI
Tomić, F.; Department of Fundamental Sciences, Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia;
© Copyright 2022 Elsevier B.V., All rights reserved.
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