3 papers
math.FA2026
An integral characterization of almost equicontinuity
Nuno J. Alves, Hikmatullo Ismatov
We characterize the pointwise notion of almost equicontinuity for families of real-valued measurable functions on subsets of of finite measure. The characterization i…
math.FA2025
A Monotone--Operator Proof of Existence and Uniqueness for a Simple Stationary Mean Field Game
Hikmatullo Ismatov
We study a stationary first--order mean field game on the --dimensional torus. The system couples a Hamilton--Jacobi equation for the value function with a transport equation fo…
math.FA2025
A Beginner-Friendly Note on Maximal Monotone Operators
Hikmatullo Ismatov
We give a self-contained and introductory account of some basic functional analytic tools needed to understand maximal monotone operators in Hilbert spaces. We review domains of (p…