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The aim is to explore weak type estimates for maximal singular integral operators with variable kernels.

April 1, 2026Open Access

Some weak type estimates for maximal singular integrals

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The aim is to explore weak type estimates for maximal singular integral operators with variable kernels.
Examined maximal singular integral operators on Rn with variable kernels.
Utilized doubling measures in analysis.
Proved Lp and weak type estimates under given conditions.
Investigated weighted weak type estimates with A1 weights of Muckenhoupt.
Demonstrated weak type estimates for certain maximal singular integrals.
Showed Lp estimates applicable under specific conditions.
Established weighted weak type estimates for these integrals with A1 weights.

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Findings reveal weak type estimates for maximal singular integrals in specific conditions, suggesting implications for advanced analysis.

Sato et al. (2022) studied this question.

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