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HOLDER INEQUALITY ON THE SPACE OF UPPER SEMICONTINUOUS FUNCTIONS

Shavkat AyupovV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences; National University of UzbekistanMuzaffar R. EshimbetovTashkent International University of Financial Management and TechnologiesA. A. ZaitovTashkent University of Architecture and Civil Engineering

Eurasian Mathematical Journaljournal2026

ABI

Annotatsiya

For a compact Hausdorff space X, we consider the space IB(X) of all idempotent probability measures on X, which are defined as set-functions on the σ-algebra of all Borel subsets of X, and also the space IUSC(X) of all normalized max-plus linear functionals on the linear space of all upper semicontinuous functions on X, equipped with idempotent operations. In the main result it is established that a max-plus version of the Hölder inequality holds on the space of upper semicontinuous functions.

Mavzular

Advanced Banach Space Theory Functional Equations Stability Results Nonlinear Differential Equations Analysis

Identifikatorlar

DOI: 10.32523/2077-9879-2026-17-1-10-22

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