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math.FA2024
Abstract Hardy inequalities: The case p=1
Alejandro Santacruz Hidalgo
Boundedness of an abstract formulation of Hardy operators between Lebesgue spaces over general measure spaces is studied and, when the domain is L^1, shown to be equivalent to the…
math.FA2023★ 2 cited
Core Decreasing Functions
Alejandro Santacruz Hidalgo, Gord Sinnamon
Given a measure space and a totally ordered ordered collection of measurable sets, called an ordered core, the notion of a core decreasing function is introduced and used to define…