Sparse Bounds for Maximal Triangle and Bilinear Spherical Averaging Operators

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Maximal operators show sparse bounds in bilinear averaging contexts, indicating a novel relationship.
Key findings reveal that bounds within the boundedness region enhance operator performance substantially.
Research utilizes a method-derived proof addressing continuity estimates for bilinear convolutions of finite measures.
Adaptations support broader implications for a general class of bilinear operators beyond product types.

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This analysis uncovers sparse bounds for maximal operators in bilinear averaging contexts, implying stronger estimates.

Palsson et al. (2025) studied this question.

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