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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Theory of Henstock-Orlicz Spaces

Theory of Henstock-Orlicz Spaces

Hazarika, Bipan
Kalita, Hemanta

Paperback

Series: Mathematical Marvels: Texts and Monographs in the Spirit of Cr Rao

General Mathematics

ISBN10: 9819695473
ISBN13: 9789819695478
Publisher: Springer
Published: Aug 28 2025
Pages: 151
Weight: 0.55
Height: 0.37 Width: 6.14 Depth: 9.21
Language: English

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 H-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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