Explicit counterexamples to the weak Muckenhoupt-Wheeden conjecture

DOI10.1007/s00209-020-02656-9zbMath1475.42021OpenAlexW3119708961WikidataQ122944902 ScholiaQ122944902MaRDI QIDQ2043093

Adam Osȩkowski

Publication date: 22 July 2021

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-020-02656-9

zbMATH Keywords

martingaleweightCalderón-Zygmund operatorHaar multipliers

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Multipliers for harmonic analysis in several variables (42B15) Inequalities for sums, series and integrals (26D15)

Cites Work

• On Muckenhoupt-Wheeden conjecture
• \(A_1\) bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden
• On weak weighted estimates of the martingale transform and a dyadic shift
• On the sharp upper bound related to the weak Muckenhoupt-Wheeden conjecture
• The Hilbert transform does not map \(L^1(M\omega)\) to \(L^{1,\infty}(\omega)\)
• Some Maximal Inequalities