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 Calderon-Zygmund operators.
Finally, central results are provided for Sobolev spaces, including
Poincare and Sobolev-Poincare 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.
General
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