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Subhomogeneity and subadditivity of the -norm like functionals.

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Title: Subhomogeneity and subadditivity of the -norm like functionals.
Authors: Matkowski, Janusz1 J.Matkowski@wmie.uz.zgora.pl
Source: Journal of Mathematical Analysis & Applications. Aug2013, Vol. 404 Issue 1, p172-184. 13p.
Subjects: Functionals, Algebraic spaces, Simple functions (Mathematics), Mathematical inequalities, Generalization, Bijections, Mathematical analysis
Abstract: Abstract: For a measure space denote by the set of all -integrable simple functions . For a bijection we consider the functional , where is the support of . One of the results says that if the measure has values in and in , the function is monotonic and satisfies the inequality then is a power function. Some characterizations of the functions in two remaining cases when either or are given. The subadditivity of , i.e. a generalization of the Minkowski inequality, is also considered. [Copyright &y& Elsevier]
Copyright of Journal of Mathematical Analysis & Applications is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 88980491
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Subhomogeneity and subadditivity of the -norm like functionals.
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  Data: Abstract: For a measure space denote by the set of all -integrable simple functions . For a bijection we consider the functional , where is the support of . One of the results says that if the measure has values in and in , the function is monotonic and satisfies the inequality then is a power function. Some characterizations of the functions in two remaining cases when either or are given. The subadditivity of , i.e. a generalization of the Minkowski inequality, is also considered. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Mathematical Analysis & Applications is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.jmaa.2013.03.005
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      – Code: eng
        Text: English
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        PageCount: 13
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      – SubjectFull: Functionals
        Type: general
      – SubjectFull: Algebraic spaces
        Type: general
      – SubjectFull: Simple functions (Mathematics)
        Type: general
      – SubjectFull: Mathematical inequalities
        Type: general
      – SubjectFull: Generalization
        Type: general
      – SubjectFull: Bijections
        Type: general
      – SubjectFull: Mathematical analysis
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      – TitleFull: Subhomogeneity and subadditivity of the -norm like functionals.
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              Text: Aug2013
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