Some remarks on capacitary integrals and measure theory

Augusto C. Ponce*, Daniel Spector

*此作品的通信作者

研究成果: 書貢獻/報告類型篇章

2 引文 斯高帕斯(Scopus)

摘要

We present results for Choquet integrals with minimal assumptions on the monotone set function through which they are defined. They include the equivalence of sublinearity and strong subadditivity independent of regularity assumptions on the capacity, as well as various forms of standard measure theoretic convergence theorems for these nonadditive integrals, e. g., Fatou's lemma and Lebesgue's dominated convergence theorem.

原文英語
主出版物標題Potentials and Partial Differential Equations
主出版物子標題The Legacy of David R. Adams
發行者de Gruyter
頁面235-264
頁數30
ISBN(電子)9783110792720
ISBN(列印)9783110792652
DOIs
出版狀態已發佈 - 2023 5月 22

ASJC Scopus subject areas

  • 一般數學

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