A. Shalukhina

activity

20182025

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2 papers · 1 filter

math.CA2024

Self-improving boundedness of the maximal operator on quasi-Banach lattices over spaces of homogeneous type

Alina Shalukhina

We prove the self-improvement property of the Hardy--Littlewood maximal operator on quasi-Banach lattices with the Fatou property in the setting of spaces of homogeneous type. Our…

math.FA2024

A necessary condition for the boundedness of the maximal operator on $L^{p (\cdot)}$ over reverse doubling spaces of homogeneous type

Oleksiy Karlovych, Alina Shalukhina

Let $(X, d, μ)$ be a space of homogeneous type and $p (\cdot) : X \to [1, \infty]$ be a variable exponent. We show that if the measure $μ$ is Borel-semiregular and reverse doubling, then t…

Self-improving boundedness of the maximal operator on quasi-Banach lattices over spaces of homogeneous type

A necessary condition for the boundedness of the maximal operator on Lp(⋅) over reverse doubling spaces of homogeneous type

A necessary condition for the boundedness of the maximal operator on $L^{p (\cdot)}$ over reverse doubling spaces of homogeneous type