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03001nam a2200529 4500 |
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978-3-030-15100-3 |
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20191028171544.0 |
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190507s2019 gw | s |||| 0|eng d |
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|a 9783030151003
|9 978-3-030-15100-3
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|a 10.1007/978-3-030-15100-3
|2 doi
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|a QA312-312.5
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|a 515.42
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|a Harjulehto, Petteri.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Orlicz Spaces and Generalized Orlicz Spaces
|h [electronic resource] /
|c by Petteri Harjulehto, Peter Hästö.
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|a 1st ed. 2019.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2019.
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|a X, 169 p. 9 illus.
|b online resource.
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|a text
|b txt
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|a computer
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|2 rdamedia
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|a online resource
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|a text file
|b PDF
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 2236
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|a 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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|a Measure theory.
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|a Functions of real variables.
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|a Functional analysis.
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|a Partial differential equations.
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|a Measure and Integration.
|0 http://scigraph.springernature.com/things/product-market-codes/M12120
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|a Real Functions.
|0 http://scigraph.springernature.com/things/product-market-codes/M12171
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|a Functional Analysis.
|0 http://scigraph.springernature.com/things/product-market-codes/M12066
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|a Partial Differential Equations.
|0 http://scigraph.springernature.com/things/product-market-codes/M12155
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|a Hästö, Peter.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783030150990
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|i Printed edition:
|z 9783030151010
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 2236
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|u https://doi.org/10.1007/978-3-030-15100-3
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a ZDB-2-LNM
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|a Mathematics and Statistics (Springer-11649)
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