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TitleOrlicz Spaces and Generalized Orlicz Spaces [electronic resource] / by Petteri Harjulehto, Peter Hästö
ImprintCham : Springer International Publishing : Imprint: Springer, 2019
Edition 1st ed. 2019
Connect tohttps://doi.org/10.1007/978-3-030-15100-3
Descript X, 169 p. 9 illus. online resource

SUMMARY

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


Mathematics Functional analysis Differential equations partial Measure and Integration. http://scigraph.springernature.com/things/product-market-codes/M12120 Real Functions. http://scigraph.springernature.com/things/product-market-codes/M12171 Functional Analysis. http://scigraph.springernature.com/things/product-market-codes/M12066 Partial Differential Equations. http://scigraph.springernature.com/things/product-market-codes/M12155



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