Monotone rearrangement in averaging classes

DOI10.1090/bproc/239zbMATH Open1548.42002MaRDI QIDQ6621361

Leonid Slavin, Pavel B. Zatitskiy, Marat Abdrakhmanov

Publication date: 18 October 2024

Published in: Proceedings of the American Mathematical Society. Series B (Search for Journal in Brave)

zbMATH Keywords

BMOMuckenhoupt weightsmonotone rearrangementaveraging class

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) Function spaces arising in harmonic analysis (42B35) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

• Mean oscillations and equimeasurable rearrangements of functions
• Theory of locally concave functions and its applications to sharp estimates of integral functionals
• Monotonic rearrangements of functions with small mean oscillation
• A Mean Oscillation Inequality
• The sharp constant in the reverse Hölder inequality for Muckenhoupt weights
• Mean oscillation bounds on rearrangements
• Vanishing mean oscillation and continuity of rearrangements

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