3 papers
math.CA2024
Two-weight inequality for the heat flow and solvability of Hardy-Hénon parabolic equation
Yohei Tsutsui
In this article, we provide two-weight inequalities for the heat flow on the whole space by applying the sparse domination. For power weights, such inequalities were given by sever…
math.CA2024
Fractional medians and their maximal functions
Yohei Tsutsui
In this article, we introduce the fractional medians, give an expression of the set of all fractional medians in terms of non-increasing rearrangements and then investigate mapping…
math.AP2017
Asymptotic stability of the stationary Navier-Stokes flows in Besov spaces
Jayson Cunanan, Takahiro Okabe, Yohei Tsutsui
We discuss the asymptotic stability of stationary solutions to the incompressible Navier-Stokes equations on the whole space in Besov spaces with positive smoothness and low integr…