Acta mathematica scientia,Series A

   

Doubling Weights Which are Piecewise Monotonic or Piecewise Doubling on $\mathbb{R}$

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 $\mathbb{R}$. 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 $\mathbb{R}$.

Key words: weight function, doubling weight, doubling measure

CLC Number: 

  • O174.12
Trendmd