Double Points Local Hardy-Littlewood Maximal Operator

Abstract EN

A double points local Hardy-Littlewood maximal operator Ma,b,k,loc is defined and investigated in Euclidean spaces.

It is proved that Ma,b,k,loc is bounded on Lpw when p>1 and from L1w to L1,∞w with weight function w∈Aa,b,k,loc, the class of double points local Ap weights which is larger than the Muckenhoupt Ap class and the local Ap weights defined by Lin and Stempak.