F. Gürbüz

Sharp Weighted Endpoint and Strong Estimates for Commutators of Rough Singular Integrals under the Log-Dini Condition

In this paper, we establish optimal weighted norm inequalities for commutators of singular integral operators with rough kernels. While classical Calder\'{o}n-Zygmund theory relies heavily on pointwise gradient smoothness, we operate under the strictly weaker log-Dini regularity condition assumed merely on the $L^{1}\l...