Stepanov and Weyl Classes of c-Almost Periodic Type Functions
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Título: | Stepanov and Weyl Classes of c-Almost Periodic Type Functions |
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Autor/es: | Ounis, Hadjer | Sepulcre, Juan Matias |
Grupo/s de investigación o GITE: | Curvas Alpha-Densas. Análisis y Geometría Local |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemáticas |
Palabras clave: | Almost periodic functions | c-almost periodic functions | Stepanov almost periodicity | Weyl almost periodicity | equi-Weyl almost periodicity | Almost anti-periodicity | Functions of a complex variable | Banach spaces |
Fecha de publicación: | 18-oct-2023 |
Editor: | Springer Nature |
Cita bibliográfica: | Complex Analysis and Operator Theory. 2023, 17:124. https://doi.org/10.1007/s11785-023-01433-w |
Resumen: | As an extension of some classes of generalized almost periodic functions, in this paper we develop the notion of c-almost periodicity in the sense of Stepanov and Weyl approaches. In fact, we extend some basic results of this theory which were already demonstrated for the standard cases. In particular, we prove that every c-almost periodic function in the sense of Stepanov approach (in the sense of equi-Weyl or Weyl approaches, respectively) is also cm-almost periodic in the sense of Stepanov approach (in the sense of equi-Weyl or Weyl approaches, respectively) for each non-zero integer number m. This study is performed for both representative cases of functions defined on the real axis and with values in a Banach space and the complex functions defined on vertical strips in the complex plane. |
Patrocinador/es: | Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. Hadjer Ounis research was supported by 076 Bis/PG/Espagne/2020-2021 (Ministère de l’Enseignement Supérieur et de la Recherche Scientifique). Juan Matías Sepulcre research was partially supported by the Ministry of Science, Innovation and Universities of Spain and the European Regional Development Fund (ERDF) of the European Commission under Project Number PID2022-136399NB-C21. |
URI: | http://hdl.handle.net/10045/138006 |
ISSN: | 1661-8254 (Print) | 1661-8262 (Online) |
DOI: | 10.1007/s11785-023-01433-w |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | © The Author(s) 2023. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
Revisión científica: | si |
Versión del editor: | https://doi.org/10.1007/s11785-023-01433-w |
Aparece en las colecciones: | INV - CADAGL - Artículos de Revistas INV - GAM - Artículos de Revistas |
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Ounis_Sepulcre_2023_ComplexAnalOperTheory.pdf | 525,99 kB | Adobe PDF | Abrir Vista previa | |
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