Orlicz spaces and generalized orlicz spaces [Documento eletrónico] / Petteri Harjulehto, Peter Hästö.
Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Springer International Publishing, 2019Description: X, 169 p. : il.ISBN: 978-3-030-15100-3.Series: Lecture Notes in Mathematics, vol. 2236Subject - Topical Name: Measure theory | Functions of real variables | Functional analysis | Differential equations Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA312.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 96106 |
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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