Hölder’s Generalized Inequality on the Space of Upper Semi-Continuous Functions
A. A. ZaitovTashkent University of Architecture and Civil Engineering, V.I. Romanovsky Institute of Mathematics, Academy of Sciences of UzbekistanM.R. EshimbetovTashkent International University of Financial Management and Technologies, Chirchik State Pedagogical University
2026en
Ochiq kirishGibrid
Litsenziya: cc-by
ABI
Annotatsiya
For a compact Hausdorff space X, we consider the space of set-functions on the σ-algebra of the Borel subsets of X, and also the space of normalized max-plus linear functionals on the space USC(X) of upper semi-continuous functions on X, equipped with idempotent operations. The main result establishes that a max-plus version of the Hölder inequality holds on the space of upper semi-continuous functions.
Hali tarjima qilinmagan
Identifikatorlar
Iqtiboslar va manbalar
0 ta iqtibos0 ta foydalanilgan manba