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Noncommutative weak type $(1,1)$ estimates for Calderón-Zygmund operators with $L_2$-mean Hörmander conditions

Published 7 Dec 2025 in math.FA and math.OA | (2512.06843v1)

Abstract: We construct a slightly new noncommutative Calderón-Zygmund decomposition by further splitting the bad function. Using this tool, we prove the weak type (1,1) boundedness of noncommutative Calderón-Zygmund operators under $L_2$-mean Hölder conditions, which improves the previous result.

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