Ideal weights: Asymptotically optimal versions of doubling, absolute continuity, and bounded mean oscillation

DOI10.1007/BF02498222zbMath0943.42008MaRDI QIDQ1282041

Michael Brian Korey

Publication date: 3 September 2000

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59579

zbMATH Keywords

BMOreverse Hölder inequalitydoubling measurearithmetic-geometric mean inequalitybounded mean oscillation\(A_\infty\) conditionMuckenhoupt \(A_p\) condition

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Inequalities for sums, series and integrals (26D15)

Related Items (16)

Weighted Solyanik estimates for the Hardy-Littlewood maximal operator and embedding of \(\mathcal A_\infty\) into \(\mathcal A_p\) ⋮ Sharp interactions among \(A_\infty\)-weights on the real line ⋮ The two-phase problem for harmonic measure in VMO ⋮ Szegő condition, scattering, and vibration of Krein strings ⋮ Optimal Poisson kernel regularity for elliptic operators with Hölder continuous coefficients in vanishing chord-arc domains ⋮ On the continuity of solutions to degenerate elliptic equations ⋮ A Sobolev inequality with reciprocal weights ⋮ Elliptic measures for Dahlberg-Kenig-Pipher operators: asymptotically optimal estimates ⋮ Mixed estimates for singular integrals on weighted Hardy spaces ⋮ Zero sets, entropy, and pointwise asymptotics of orthogonal polynomials ⋮ Tangent measures of elliptic measure and applications ⋮ Blow-ups of caloric measure in time varying domains and applications to two-phase problems ⋮ Asymptotical stability of Muckenhoupt weights through Gurov-Reshetnyak classes ⋮ Continuity of weighted estimates in $A_{p}$ norm ⋮ Asymptotically sharp reverse Hoelder inequalities for flat Muckenhoupt weights ⋮ Optimal factorization of Muckenhoupt weights

Cites Work

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• Weighted Norm Inequalities for the Hardy Maximal Function
• The equivalence of two conditions for weight functions
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform

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