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Theory of Henstock–Orlicz Spaces

By (author) Bipan Hazarika, By (author) Hemanta Kalita

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normal price: R 4 256.95

Price: R 3 830.95

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| book description |

This book presents a systematic treatment of Henstockâ€“Orlicz (or H-Orlicz) spaces with minimal assumptions on the Young function. H-Orlicz spaces contain non-absolute integrable functions called Henstockâ€“Kurzweil integrableÂ 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 Henstockâ€“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 Radonâ€“Nikodym property of the Hâ€“Orlicz spaces.Â 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.