Orlicz Spaces and Generalized Orlicz Spaces

Petteri Harjulehto, Peter Hästö (Autoren)

Buch | Softcover

X, 169 Seiten

2019 | 1st ed. 2019
Springer International Publishing (Verlag)
978-3-030-15099-0 (ISBN)

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lt;p>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.

- Introduction.- -Functions. - Generalized Orlicz Spaces. - Maximal and Averaging Operators. - Extrapolation and Interpolation. - Sobolev Spaces. - Special Cases.

Erscheinungsdatum	09.05.2019
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	X, 169 p. 9 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	284 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Extrapolation • Maximum Function • Musielak-Orlicz Space • Orlicz space • Partial differential equations • Phi-function • Sobolev Space
ISBN-10	3-030-15099-2 / 3030150992
ISBN-13	978-3-030-15099-0 / 9783030150990
Zustand	Neuware