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math.FA2018
Generalized Lebesgue points for Hajł asz functions
Toni Heikkinen
Let be a quasi-Banach function space over a doubling metric measure space . Denote by the generalized upper Boyd index of . We show that if an…
math.FA2018
A median approach to differentiation bases
Toni Heikkinen, Juha Kinnunen
We study a version of the Lebesgue differentiation theorem in which the integral averages are replaced with medians over Busemann--Feller differentiation bases. Our main result giv…