English

Convergence for varying measures

Functional Analysis 2025-01-14 v2

Abstract

Some limit theorems of the type Ωfndmn>Ωfdm\int_{\Omega}f_n dm_n -- --> \int_{\Omega}f dm are presented for scalar, (vector), (multi)-valued sequences of m_n-integrable functions f_n. The convergences obtained, in the vector and multivalued settings, are in the weak or in the strong sense.

Keywords

Cite

@article{arxiv.2209.00354,
  title  = {Convergence for varying measures},
  author = {Luisa Di Piazza and Valeria Marraffa and Kazimierz Musial and Anna Rita Sambucini},
  journal= {arXiv preprint arXiv:2209.00354},
  year   = {2025}
}

Comments

27 pages, preprint

R2 v1 2026-06-28T00:33:21.114Z