Homeomorphisms on the real line preserving BMO and BLO

DOI10.1007/S10476-021-0108-4zbMath1499.46061OpenAlexW3206957514MaRDI QIDQ2052776

Arturo Popoli

Publication date: 27 November 2021

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-021-0108-4

zbMATH Keywords

BMOMuckenhoupt weightBLO

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) Functions of bounded variation, generalizations (26A45)

Cites Work

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• The John-Nirenberg inequality with sharp constants
• Sharp weighted bounds involving \(A_\infty\)
• Duality for \(A_\infty\) weights on the real line
• On composition operators which preserve BMO.
• Homeomorphisms of the line which preserve BMO
• Sharp interactions among \(A_\infty\)-weights on the real line
• Homeomorphisms preserving \(A_ p\)
• A stability result on Muckenhoupt's weights
• Maximal functions and related weight classes
• The distance to \(L^{\infty }\) in some function spaces and applications
• On an integral inequality and related summability results
• Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type
• The distance of \(L^{\infty}\) from BMO on metric measure spaces
• Limits of the \(A_p\) constants
• Mean oscillations and equimeasurable rearrangements of functions
• Near-symmetry in 𝐴_{∞} and refined Jones factorization
• Another Characterization of BMO
• The Muckenhoupt class A₁(R)
• SHARP ESTIMATES FOR FUNCTIONS OF BOUNDED LOWER OSCILLATION
• The distance in BMO to \(L^\infty\)

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