Robert Kesler, Michael T. Lacey
For 0<12 , let ?? be the Bochner–Riesz multiplier of index ? on the plane. Associated to this multiplier is the critical index 1?=43+2?<43 . We prove a sparse bound for ?? with indices (??,?) , where ?′?<4 . This is a further quantification of the endpoint weak ??? boundedness of ?? , due to Seeger. Indeed, the sparse bound immediately implies new endpoint weighted weak type estimates for weights in ?1∩??? , where ?>44−3?? .
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