We consider some maximal singular integral operators having variable kernels on Rn with doubling measures and prove Lp and weak type estimates for them under certain conditions. Also, certain weighted weak type estimates are shown for maximal singular integrals with A1 weights of Muckenhoupt for the Lebesgue measure.
Sato et al. (Sat,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: