Fractional medians and their maximal functions

DOI10.1007/S12220-024-01750-2zbMATH Open1547.4204MaRDI QIDQ6604720

Yohei Tsutsui

Publication date: 13 September 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

fractional maximal operatornon-increasing rearrangementsfractional medians

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Cites Work

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• BMO from dyadic BMO
• Local sharp maximal functions
• Two remarks on \(H^1\) and BMO
• Maximal functions with respect to differential bases measuring mean oscillation
• An optimal Sobolev embedding for \(L^1\)
• A pointwise estimate for the local sharp maximal function with applications to singular integrals
• A condition for a two-weight norm inequality for singular integral operators
• A Proof of the Fefferman-Stein-Stromberg Inequality for the Sharp Maximal Functions
• Medians, continuity, and vanishing oscillation

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