Acta mathematica scientia,Series A

   

Doubling Weights Which are Piecewise Monotonic or Piecewise Doubling on R

1,DAI Yu-Xia 1,Yu ximei2   

  1. 1.
    2. 湖北大学数学与统计学院
  • Received:2022-04-18 Revised:2023-01-12 Published:2023-04-12
  • Contact: DAI Yu-Xia

Abstract: A nonnegative and locally integrable function is called a weight function. In this paper, we study several kinds of doubling weights on R. We firstly give sufficient and necessary conditions on which monotonic weights are doubling. Then describe doubling piecewise monotonic weights. At last, we discuss doubling weights which are piecewise doubling on R.

Key words: weight function, doubling weight, doubling measure

CLC Number: 

  • O174.12
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