Theory of Henstock–Orlicz Spaces
This book presents a systematic treatment of Henstock–Orlicz (or H-Orlicz) spaces with minimal assumptions on the Young function. H-Orlicz spaces contain non-absolute integrable functions called Henstock–Kurzweil integrable functions. Results from classical functional analysis are presented in detai...
محفوظ في:
| المؤلفون الرئيسيون: | , |
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| مؤلف مشترك: | |
| التنسيق: | الكتروني كتاب الكتروني |
| اللغة: | الإنجليزية |
| منشور في: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2025.
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| الطبعة: | 1st ed. 2025. |
| سلاسل: | Mathematical Marvels: Texts and Monographs in the Spirit of CR Rao,
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://doi.org/10.1007/978-981-96-9548-5 |
| الوسوم: |
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| الملخص: | This book presents a systematic treatment of Henstock–Orlicz (or H-Orlicz) spaces with minimal assumptions on the Young function. H-Orlicz spaces contain non-absolute integrable functions called Henstock–Kurzweil integrable functions. Results from classical functional analysis are presented in detail, and new material is included on classical analysis. Extrapolation is used to prove, for example, the countable additivity of Henstock–Dunford integrable functions on H-Orlicz spaces are included. Relationships of modular convergence and norm convergence of H-Orlicz spaces are discussed. Finally, central geometrical results are provided for H-spaces, including uniformly convexity, reflexivity and the Radon–Nikodym property of the Henstock–Orlicz spaces. Primarily aimed at researchers and PhD students interested in Orlicz spaces or generalized Orlicz spaces, this book can be used as a basis for advanced graduate courses in analysis. |
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| وصف مادي: | 1 online resource (XVII, 151 p. 1 illus.). |
| ردمك: | 9789819695485 |
| تدمد: | 3005-1975 |
| DOI: | 10.1007/978-981-96-9548-5 |