Sharp inequalities for BMO functions

DOI10.1007/s11401-015-0887-7zbMath1319.42018OpenAlexW2048874358MaRDI QIDQ2340479

Adam Oscȩkowski

Publication date: 20 April 2015

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-015-0887-7

zbMATH Keywords

Bellman functionBMO functionsweak-type inequalities

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) Inequalities for sums, series and integrals (26D15)

Related Items (8)

A linear dimensionless bound for the weighted Riesz vector ⋮ Sharp estimates for Lipschitz class ⋮ Theory of locally concave functions and its applications to sharp estimates of integral functionals ⋮ The foundational inequalities of D. L. Burkholder and some of their ramifications ⋮ Sharp logarithmic inequalities for Riesz transforms ⋮ Bellman Function for Extremal Problems in BMO II: Evolution ⋮ Sharp Lorentz-norm estimates for BMO martingales ⋮ Sharp estimates of integral functionals on classes of functions with small mean oscillation

Cites Work

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• Sharp Martingale and Semimartingale Inequalities
• ON THE CONNECTION BETWEEN MEAN OSCILLATION AND EXACT INTEGRABILITY CLASSES OF FUNCTIONS
• On functions of bounded mean oscillation
• Bellman Function and the $H^1-BMO$ Duality
• The Bellman functions and two-weight inequalities for Haar multipliers
• Monge--Amp\`ere equation and Bellman optimization of Carleson Embedding Theorems
• Sharp constants in the classical weak form of the John-Nirenberg inequality
• Characterizations of bounded mean oscillation

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