Weak integral conditions for BMO

DOI10.1090/S0002-9939-2015-12424-0zbMath1314.42023arXiv1309.6780MaRDI QIDQ5246918

Alexander Logunov, Pavel B. Zatitskiy, Dmitriy M. Stolyarov, Leonid Slavin, Vasily I. Vasyunin

Publication date: 22 April 2015

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

Full work available at URL: https://arxiv.org/abs/1309.6780

zbMATH Keywords

BMO spaceJohn-Nirenberg inequalityBellman function method

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) BMO-spaces (30H35)

Related Items (max. 100)

The Bellman function of the dyadic maximal operator in connection with the dyadic Carleson imbedding theorem ⋮ Theory of locally concave functions and its applications to sharp estimates of integral functionals ⋮ Unnamed Item ⋮ John-Nirenberg inequalities and weight invariant BMO spaces ⋮ Self-improving Poincaré-Sobolev type functionals in product spaces ⋮ BMO with respect to Banach function spaces ⋮ Best constants for a family of Carleson sequences ⋮ On Bellman function for extremal problems in BMO ⋮ Bellman Function for Extremal Problems in BMO II: Evolution ⋮ Sharp Lorentz estimates for dyadic-like maximal operators and related Bellman functions ⋮ Sharp estimates of integral functionals on classes of functions with small mean oscillation ⋮ Minimal conditions for BMO ⋮ Extremal sequences for the Bellman function of three variables of the dyadic maximal operator related to Kolmogorov’s inequality

Cites Work

• On Bellman function for extremal problems in BMO
• Sharp L^p estimates on BMO
• The John–Nirenberg constant of $\mathrm {BMO}^p$, $p> 2$
• Sharp results in the integral-form John–Nirenberg inequality
• On functions of bounded mean oscillation
• A Mean Oscillation Inequality
• Sharp constants in the classical weak form of the John-Nirenberg inequality
• Unnamed Item
• Unnamed Item
• Unnamed Item

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