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Orlicz Spaces and Generalized Orlicz Spaces by Petteri Harjulehto

Orlicz Spaces and Generalized Orlicz Spaces

by Petteri Harjulehto
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Book cover type: Paperback
  • ISBN13: 9783030150990
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 169
  • Original Price: EUR 44.99
  • Language: English
  • Edition: 2019
  • Item Weight: 281 grams
  • BISAC Subject(s): Mathematical Analysis, Functional Analysis, and Differential Equations / General

From the Back Cover
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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