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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…