On the separated bumps conjecture for Calderón-Zygmund operators

DOI10.14492/hokmj/1470139402zbMath1345.42015arXiv1310.3507OpenAlexW2963357574WikidataQ123004596 ScholiaQ123004596MaRDI QIDQ297518

Michael T. Lacey

Publication date: 27 June 2016

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.3507

zbMATH Keywords

Calderón-Zygmund operatorsOrlicz spacesseparated bumps conjectureweighted inequality

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) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

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Two weight norm inequalities for the bilinear fractional integrals ⋮ Two-weight estimates for sparse square functions and the separated bump conjecture ⋮ Two weight inequalities for bilinear forms ⋮ Bump conditions and two-weight inequalities for commutators of fractional integrals ⋮ A sharp two-weight estimate for the maximal operator under a bump condition ⋮ Off-diagonal two weight bumps for fractional sparse operators ⋮ A Two Weight Fractional Singular Integral Theorem with Side Conditions, Energy and k-Energy Dispersed ⋮ Entropy bumps and another sufficient condition for the two-weight boundedness of sparse operators ⋮ Logarithmic bump conditions and the two-weight boundedness of Calderón-Zygmund operators ⋮ On the truncated operator trigonometric moment problem ⋮ An elementary proof of the \(A_{2}\) bound ⋮ On two weight estimates for iterated commutators ⋮ On the necessity of bump conditions for the two-weighted maximal inequality ⋮ The \(L(\log L)^\epsilon\) endpoint estimate for maximal singular integral operators ⋮ New oscillation classes and two weight bump conditions for commutators ⋮ On entropy bumps for Calderón-Zygmund operators ⋮ On separated bump conditions for Calderón-Zygmund operators

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