On submultiplicativity of an N -function and its conjugate

Verfasser / Beitragende:
[Lech Maligranda]
Ort, Verlag, Jahr:
2015
Enthalten in:
Aequationes mathematicae, 89/3(2015-06-01), 569-573
Format:
Artikel (online)
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024 7 0 |a 10.1007/s00010-013-0240-8  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00010-013-0240-8 
100 1 |a Maligranda  |D Lech  |u Department of Engineering Sciences and Mathematics, Luleå University of Technology, 971 87, Luleå, Sweden  |4 aut 
245 1 0 |a On submultiplicativity of an N -function and its conjugate  |h [Elektronische Daten]  |c [Lech Maligranda] 
520 3 |a It is shown that if an N-function φ is submultiplicative, then its conjugate function φ* cannot be submultiplicative. Moreover, we have the following characterization of power functions among N-functions: if an N-function φ is C 1-submultiplicative and its conjugate function φ* is C 2-submultiplicative for some C 1, C 2 > 0, then φ is equivalent to a power function. 
540 |a Springer Basel, 2013 
690 7 |a Orlicz functions  |2 nationallicence 
690 7 |a submultiplicative functions  |2 nationallicence 
690 7 |a power function  |2 nationallicence 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Maligranda  |D Lech  |u Department of Engineering Sciences and Mathematics, Luleå University of Technology, 971 87, Luleå, Sweden  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Aequationes mathematicae  |d Springer Basel  |g 89/3(2015-06-01), 569-573  |x 0001-9054  |q 89:3<569  |1 2015  |2 89  |o 10