Lecture notes in mathematics orlicz spaces and generalized orlicz spaces

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This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak–Orlicz spaces) with minimal assumptions on the generating Φ-function.

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.

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Taal: en

Bindwijze: Paperback

Oorspronkelijke releasedatum: 08 mei 2019

Aantal pagina's: 169

Illustraties: Nee

Hoofdauteur: Petteri Harjulehto

Tweede Auteur: Peter Hasto

Hoofduitgeverij: Springer

Editie: 1st ed. 2019

Extra groot lettertype: Nee

Product breedte: 155 mm

Product lengte: 235 mm

Studieboek: Ja

Verpakking breedte: 156 mm

Verpakking hoogte: 235 mm

Verpakking lengte: 230 mm

Verpakkingsgewicht: 125 g

EAN: 9783030150990

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