Radon–Nikodým Theorems for Finitely Additive Multimeasures

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Abstract

In this paper we deal with interval multimeasures. We show some Radon–Nikodým theorems for such multimeasures using multivalued Henstock or Henstock–Kurzweil–Pettis derivatives. We do not use the separability assumption in the results.
Lingua originaleEnglish
pagine (da-a)373-389
Numero di pagine17
RivistaZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
Volume34(4)
Stato di pubblicazionePublished - 2015

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Multivalued
Separability
Derivatives
Derivative
Interval
Theorem

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cita questo

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title = "Radon–Nikod{\'y}m Theorems for Finitely Additive Multimeasures",
abstract = "In this paper we deal with interval multimeasures. We show some Radon–Nikod{\'y}m theorems for such multimeasures using multivalued Henstock or Henstock–Kurzweil–Pettis derivatives. We do not use the separability assumption in the results.",
author = "{Di Piazza}, Luisa and Giovanni Porcello",
year = "2015",
language = "English",
volume = "34(4)",
pages = "373--389",
journal = "Zeitschrift fur Analysis und ihre Anwendung",
issn = "0232-2064",
publisher = "Heldermann Verlag",

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T1 - Radon–Nikodým Theorems for Finitely Additive Multimeasures

AU - Di Piazza, Luisa

AU - Porcello, Giovanni

PY - 2015

Y1 - 2015

N2 - In this paper we deal with interval multimeasures. We show some Radon–Nikodým theorems for such multimeasures using multivalued Henstock or Henstock–Kurzweil–Pettis derivatives. We do not use the separability assumption in the results.

AB - In this paper we deal with interval multimeasures. We show some Radon–Nikodým theorems for such multimeasures using multivalued Henstock or Henstock–Kurzweil–Pettis derivatives. We do not use the separability assumption in the results.

UR - http://hdl.handle.net/10447/148793

UR - https://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=34&iss=4&rank=1

M3 - Article

VL - 34(4)

SP - 373

EP - 389

JO - Zeitschrift fur Analysis und ihre Anwendung

JF - Zeitschrift fur Analysis und ihre Anwendung

SN - 0232-2064

ER -