6 papers
Weighted Norm Inequalities for Maximal Multi-sublinear Rough Singular Integrals
Bae Jun Park
We continue our study of multilinear rough homogeneous singular integrals by establishing weighted estimates for their maximal truncations. Let and let $Ω\in L^q(\mathbb{S}…
Weighted Extensions of Stein's Theorem for Linear and Multilinear Operators
María Jesús Carro, Bae Jun Park
We study weighted estimates for linear and multilinear integral operators whose kernels satisfy only size conditions. Extending a theorem of E. Stein and its refinement by Soria an…
Sharp bilinear estimates for maximal singular integrals with kernels in weighted spaces
Stefanos Lappas, Bae Jun Park
In this paper, we study the boundedness properties of the (dyadic) maximal bilinear operator associated with rough homogeneous kernels on . We establish sharp $L^{p_1}(…
Weighted estimates for Multilinear Singular Integrals with Rough Kernels
Bae Jun Park
We establish weighted norm inequalities for multilinear singular integral operators with rough kernels. Specifically, we consider the multilinear singular integral operator $\mathc…
Multilinear estimates for maximal rough singular integrals
Bae Jun Park
In this work, we establish bounds for maximal multi-(sub)linear singular integrals associated with homogeneous kernels $\frac{Ω(\vec{\bo…
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)…