Orlicz Spaces and Modular Spaces

Orlicz Spaces and Modular Spaces

1983 | Julian Musielak
This book, "Orlicz Spaces and Modular Spaces," is edited by A. Dold and B. Eckmann and authored by Julian Musielak. It was published by Springer-Verlag in 1983. The book is a comprehensive treatment of modular spaces and Orlicz spaces, with a focus on scalar-valued functions, which are fundamental for applications. The content is divided into several chapters: - **Chapter I**: Modular spaces, covering the basics and foundational concepts. - **Chapter II**: Orlicz spaces, including generalized Orlicz spaces, embeddings, compactness, and related topics. - **Chapter III**: Countably modulared spaces, discussing spaces of differentiable and φ-integrable functions. - **Chapter IV**: Families of modulars depending on a parameter, exploring various families of modulars and Orlicz classes. - **Chapter V**: Applications of modular spaces, including integral equations and approximation theory. The author acknowledges the contributions of several individuals who provided valuable feedback and support in the preparation of the book. The book is copyrighted and printed in Germany.This book, "Orlicz Spaces and Modular Spaces," is edited by A. Dold and B. Eckmann and authored by Julian Musielak. It was published by Springer-Verlag in 1983. The book is a comprehensive treatment of modular spaces and Orlicz spaces, with a focus on scalar-valued functions, which are fundamental for applications. The content is divided into several chapters: - **Chapter I**: Modular spaces, covering the basics and foundational concepts. - **Chapter II**: Orlicz spaces, including generalized Orlicz spaces, embeddings, compactness, and related topics. - **Chapter III**: Countably modulared spaces, discussing spaces of differentiable and φ-integrable functions. - **Chapter IV**: Families of modulars depending on a parameter, exploring various families of modulars and Orlicz classes. - **Chapter V**: Applications of modular spaces, including integral equations and approximation theory. The author acknowledges the contributions of several individuals who provided valuable feedback and support in the preparation of the book. The book is copyrighted and printed in Germany.
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Understanding Orlicz Spaces and Modular Spaces