Restricted weighted weak boundedness for product type operators

Abstract

Given a bilinear (or sub-bilinear) operator B, we prove restricted weighted weak type inequalities of the formwhenever is the product of two singular integral operators satisfying Dini conditions. Additionally, we also establish, as an application, the boundedness of a certain class of bounded variation bilinear Fourier multipliers solving a question posted in Baena-Miret et al.