Monotonic rearrangements of functions with small mean oscillation

DOI10.4064/sm8326-2-2016zbMath1343.42031arXiv1506.00502OpenAlexW2964038606MaRDI QIDQ2804302

Vasily I. Vasyunin, Pavel B. Zatitskiy, Dmitriy M. Stolyarov

Publication date: 28 April 2016

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

Full work available at URL: https://arxiv.org/abs/1506.00502

zbMATH Keywords

martingaleBMO spaceMuckenhoupt classmonotonic rearrangement

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Function spaces arising in harmonic analysis (42B35) Convex sets in (2) dimensions (including convex curves) (52A10) Martingales and classical analysis (60G46)

Related Items (6)

Sharp moment estimates for martingales with uniformly bounded square functions ⋮ Mean oscillation bounds on rearrangements ⋮ 𝐁𝐌𝐎 on shapes and sharp constants ⋮ Bellman Function for Extremal Problems in BMO II: Evolution ⋮ Sharp Lorentz estimates for dyadic-like maximal operators and related Bellman functions ⋮ Sharp transference principle for BMO and \(A_p\)

Cites Work

• The reverse Hölder inequality for power means
• Monotonicity of certain functionals under rearrangement
• Equimeasurable rearrangements of functions satisfying the reverse Hölder or the reverse Jensen inequality
• A sharp integral rearrangement inequality for the dyadic maximal operator and applications
• Theory of locally concave functions and its applications to sharp estimates of integral functionals
• Some Applications of Equimeasurable Rearrangements
• Sharp L^p estimates on BMO
• A Mean Oscillation Inequality
• On Muckenhoupt´s classes of weight functions
• The Muckenhoupt class A₁(R)
• Sharp estimates of integral functionals on classes of functions with small mean oscillation

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