Borderline weak–type estimates for sparse bilinear forms involving A∞ maximal functions

Rahm, Rob

doi:10.1016/j.jmaa.2021.125372

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Proof Of the Main Results1

Introduction and Main Results1

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Cited by 2 publications

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“…Lemma 5 is an important tool in [14]. In the following lines we present a result generalizes the lemma above.…”

Section: Proof Of the Main Resultsmentioning

confidence: 78%

“…• In [3] it was settled that M L(log L) ρ in (1.2) could be replaced for even smaller operators such as M L(log log L) 1+ρ keeping c n,ρ ≃ c n 1 ρ as well. Quite recently another line of research related to Fefferman Stein estimates was initiated by Rahm in [14]. The new approach consisted in replacing in (1.2) M L(log L) ρ by a suitable entropy bump type maximal operator encoding A ∞ type information of the weight.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

“…

In this paper endpoint entropy Fefferman-Stein bounds for Calderón-Zygmund operators introduced by Rahm in [14] are extended to iterated Coifman-Rochberg-Weiss commutators.

…”

mentioning

confidence: 99%

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