This book presents a systematic treatment of generalized Orlicz spaces (also known as
Musielak-Orlicz spaces) with minimal assumptions on the generating -function. It introduces and
develops a technique centered on the use of equivalent -functions. Results from classical
functional analysis are presented in detail and new material is included on harmonic analysis.
Extrapolation is used to prove for example the boundedness of Calderón-Zygmund operators.
Finally central results are provided for Sobolev spaces including Poincaré and
Sobolev-Poincaré inequalities in norm and modular forms. 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.
