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...

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Bibliografske podrobnosti
Main Authors:	Hazarika, Bipan (Author), Kalita, Hemanta (Author)
Korporativna značnica:	SpringerLink (Online service)
Format:	Elektronski eKnjiga
Jezik:	angleščina
Izdano:	Singapore : Springer Nature Singapore : Imprint: Springer, 2025.
Izdaja:	1st ed. 2025.
Serija:	Mathematical Marvels: Texts and Monographs in the Spirit of CR Rao,
Teme:	Sequences (Mathematics). Functions of complex variables. Functional analysis. Sequences, Series, Summability. Several Complex Variables and Analytic Spaces. Functional Analysis.
Online dostop:	https://doi.org/10.1007/978-981-96-9548-5
Oznake:	Označite Brez oznak, prvi označite!

Kazalo:

Chapter 1. Basic Ingredients
Chapter 2. Orlicz spaces
Chapter 3. Historical Background of Non-absolute Integrals
Chapter 4. Kluvánek-Lewis-Henstock Integrals
Chapter 5. Henstock-Dunford and Henstock-Pettis Integrable Functions
Chapter 6. Henstock-Orlicz Spaces and Denseness of C
Chapter 7. Geometrical Properties of Henstock-Orlicz Spaces
Chapter 8. Weak Henstock-Orlicz Spaces and Inclusion Properties
Chapter 9. Countable Additivity of Henstock-Dunford Integrable Function and Orlicz Spaces
Chapter 10 Modular convergence in H-Orlicz spaces of Banach valued functions.

Theory of Henstock–Orlicz Spaces

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