Dimension-free estimates for semigroup BMO and A_p

DOI10.1512/iumj.2021.70.8736zbMath1481.42033arXiv1908.02602OpenAlexW4206182827MaRDI QIDQ5025430

Pavel B. Zatitskiy, Leonid Slavin

Publication date: 2 February 2022

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.02602

zbMATH Keywords

\(A_p\) weightsBellman functionsdimension-free estimates\(\mathrm{BMO}\)

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) 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) Probabilistic methods for one variable harmonic analysis (42A61)

Related Items (2)

Sharp multiplicative inequalities with BMO. II ⋮ Mean oscillation bounds on rearrangements

Cites Work

• A new look at the John-Nirenberg and John-Strömberg theorems for BMO
• Unions of cubes in \(\mathbb{R}^n\), combinatorics in \(\mathbb{Z}^n\) and the John-Nirenberg and John-Strömberg inequalities
• On John and Nirenberg's theorem
• Sharp L^p estimates on BMO
• Sharp results in the integral-form John–Nirenberg inequality
• On functions of bounded mean oscillation
• Bellman Function for Extremal Problems in BMO II: Evolution
• Sharp constants in the classical weak form of the John-Nirenberg inequality
• Sharp estimates of integral functionals on classes of functions with small mean oscillation

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