کتاب دانلود کتب لاتین علوم مهندسیریاضی
فضا های Orlicz و فضا های عمومی Orlicz
فضا های Orlicz و فضا های عمومی Orlicz

Orlicz Spaces and Generalized Orlicz Spaces
سال انتشار: 2019
تعداد صفحات: 176
زبان فایل: انگلیسی
فرمت فایل: pdf
حجم فایل: 3MB
رمز فایل: www.ketabdownload.com
قیمت: 200,000ريال

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Publisher : Springer

ISBN-10 : 3030150992

ISBN-13 : 978-3030150990

ASIN : B07ZQM4SB6

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.