TY  - BOOK
AU  - Harjulehto,Petteri
AU  - Hästö,Peter
ED  - SpringerLink (Online service)
TI  - Orlicz Spaces and Generalized Orlicz Spaces
T2  - Lecture Notes in Mathematics,
SN  - 9783030151003
AV  - QA312-312.5 
U1  - 515.42 23
PY  - 2019///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Measure theory
KW  - Functions of real variables
KW  - Functional analysis
KW  - Partial differential equations
KW  - Measure and Integration
KW  - Real Functions
KW  - Functional Analysis
KW  - Partial Differential Equations
N2  - This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak–Orlicz spaces) with minimal assumptions on the generating Φ-function. It introduces and develops a technique centered on the use of equivalent Φ-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
UR  - https://doi.org/10.1007/978-3-030-15100-3
ER  -