Bae Jun Park

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20242026

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math.CA2024

Multilinear estimates for maximal rough singular integrals

Bae Jun Park

In this work, we establish $L^{p_{1}} \times \dots \times L^{p_{m}} \to L^{p}$ bounds for maximal multi-(sub)linear singular integrals associated with homogeneous kernels $\frac{Ω(\vec{\bo…

math.CA2024

Bilinear Rough Singular Integrals near the Critical Integrability via Sharp Fourier Multiplier Criteria

Georgios Dosidis, Bae Jun Park, Lenka Slavikova

We establish boundedness results for bilinear singular integral operators with rough homogeneous kernels whose restriction to the unit sphere belongs to the Orlicz space $L(\log L)…