Orlicz Spaces and Generalized Orlicz Spaces - Couverture souple

Harjulehto, Petteri; Hästö, Peter

Couverture souple

ISBN 10 : 3030150992 ISBN 13 : 9783030150990

Editeur : Springer, 2019

Synopsis

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.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2019
• Langue: anglais
• ISBN 10: 3030150992
• ISBN 13: 9783030150990
• Reliure: Broché
• Nombre de pages: 180
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne