Orlicz Spaces and Generalized Orlicz Spaces

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 pr...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Harjulehto, Petteri (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Hästö, Peter (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
Έκδοση:1st ed. 2019.
Σειρά:Lecture Notes in Mathematics, 2236
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 03001nam a2200529 4500
001 978-3-030-15100-3
003 DE-He213
005 20191028171544.0
007 cr nn 008mamaa
008 190507s2019 gw | s |||| 0|eng d
020 |a 9783030151003  |9 978-3-030-15100-3 
024 7 |a 10.1007/978-3-030-15100-3  |2 doi 
040 |d GrThAP 
050 4 |a QA312-312.5 
072 7 |a PBKL  |2 bicssc 
072 7 |a MAT034000  |2 bisacsh 
072 7 |a PBKL  |2 thema 
082 0 4 |a 515.42  |2 23 
100 1 |a Harjulehto, Petteri.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Orlicz Spaces and Generalized Orlicz Spaces  |h [electronic resource] /  |c by Petteri Harjulehto, Peter Hästö. 
250 |a 1st ed. 2019. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2019. 
300 |a X, 169 p. 9 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2236 
520 |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. 
650 0 |a Measure theory. 
650 0 |a Functions of real variables. 
650 0 |a Functional analysis. 
650 0 |a Partial differential equations. 
650 1 4 |a Measure and Integration.  |0 http://scigraph.springernature.com/things/product-market-codes/M12120 
650 2 4 |a Real Functions.  |0 http://scigraph.springernature.com/things/product-market-codes/M12171 
650 2 4 |a Functional Analysis.  |0 http://scigraph.springernature.com/things/product-market-codes/M12066 
650 2 4 |a Partial Differential Equations.  |0 http://scigraph.springernature.com/things/product-market-codes/M12155 
700 1 |a Hästö, Peter.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783030150990 
776 0 8 |i Printed edition:  |z 9783030151010 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2236 
856 4 0 |u https://doi.org/10.1007/978-3-030-15100-3  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
912 |a ZDB-2-LNM 
950 |a Mathematics and Statistics (Springer-11649)