Sharp estimates involving $A_\infty $ and $L\log L$ constants, and their applications to PDE

DOI10.1090/S1061-0022-2014-01329-5zbMath1325.42029arXiv1107.1885OpenAlexW2962890711MaRDI QIDQ5254401

Alexander Reznikov, Oleksandra V. Beznosova

Publication date: 9 June 2015

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1885

zbMATH Keywords

Dirichlet problemGehring lemmareverse Hölder inequalitiesMuckenhoupt classesBellman function techniques

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Harmonic analysis in several variables (42B99) Harmonic analysis and PDEs (42B37)

Related Items (11)

On the \(A_\infty\) conditions for general bases ⋮ Weighted Solyanik estimates for the Hardy-Littlewood maximal operator and embedding of \(\mathcal A_\infty\) into \(\mathcal A_p\) ⋮ Theory of locally concave functions and its applications to sharp estimates of integral functionals ⋮ Weighted estimates for dyadic paraproducts and \(t\)-Haar multipliers with complexity (\(m,n\)) ⋮ Unnamed Item ⋮ Dyadic structure theorems for multiparameter function spaces ⋮ Exact exponents for inclusion of discrete Muckenhoupt classes into Gehring classes and reverse ⋮ Bellman Function for Extremal Problems in BMO II: Evolution ⋮ Sharp estimates of integral functionals on classes of functions with small mean oscillation ⋮ Limits of the \(A_p\) constants ⋮ Weighted Lorentz spaces: sharp mixed \(A_p - A_\infty\) estimate for maximal functions

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