Sharp Quantitative Weighted $$\mathop {\mathrm {BMO}}$$ Estimates and a New Proof of the Harboure–Macías–Segovia’s Extrapolation Theorem

Criado, A.; Pérez, Carlos; Rivera-Rı́os, Israel P.

doi:10.1007/978-3-030-32353-0_8

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Introduction and Main Results1

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2023

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“…Quite recently in [3], a quantitative version of this result was obtained. In that paper it was shown that if δ ∈ (0, 1) and…”

Section: Introduction and Main Resultsmentioning

confidence: 87%

Upper endpoint estimates and extrapolation for commutators

Li,

Ombrosi,

Rivera-Ríos

2023

Revista De La Unión Matemática Argentina

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In this note we revisit the upper endpoint estimates for commutators following the line by Harboure, Segovia, and Torrea [Illinois J. Math. 41 no. 4 (1997), 676-700]. Relying upon the suitable BMO subspace suited for the commutator that was introduced in Accomazzo's PhD thesis (2020), we obtain a counterpart for commutators of the upper endpoint extrapolation result by Harboure, Macías and Segovia [Amer. J. Math. 110 no. 3 (1988), 383-397]. Multilinear counterparts are provided as well.

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“…Quite recently in [3], a quantitative version of this result was obtained. In that paper it was shown that if δ ∈ (0, 1) and…”

Section: Introduction and Main Resultsmentioning

confidence: 87%