Orlicz Spaces and Generalized Orlicz Spaces

Orlicz Spaces and Generalized Orlicz Spaces (English, Paperback, Harjulehto Petteri)

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Orlicz Spaces and Generalized Orlicz Spaces  (English, Paperback, Harjulehto Petteri)

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    Highlights
    • Language: English
    • Binding: Paperback
    • Publisher: Springer Nature Switzerland AG
    • Genre: Mathematics
    • ISBN: 9783030150990, 9783030150990
    • Pages: 169
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  • Description
    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 Calderon-Zygmund operators. Finally, central results are provided for Sobolev spaces, including Poincare and Sobolev-Poincare 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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    Book Details
    Imprint
    • Springer Nature Switzerland AG
    Dimensions
    Height
    • 235 mm
    Length
    • 155 mm
    Weight
    • 285 gr
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