ON MAXIMAL OPERATORS BELONGING TO THE MUCKENHOUPT'S CLASS $A_1$

  • Suh, Choon-Serk (School of Information and Communication Engineering Dongyang University)
  • Published : 2007.06.30

Abstract

We study a maximal operator defined on spaces of homogeneous type, and we prove that this operator is of weak type (1,1). As a consequence we show that the maximal operator belongs to the Muckenhoupt's class $A_1$.

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