Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (5): 1585-1594.

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

Dang Yungui1,Dai Yuxia2,*(),Yu Ximei2   

  1. 1Department of Mathematics, Lyuliang University, Shanxi Lvliang 033001
    2Faculty of Mathematics and Statistics, Hubei University, Wuhan 430062
  • Received:2022-04-18 Revised:2023-03-23 Online:2023-10-26 Published:2023-08-09
  • Contact: Yuxia Dai E-mail:daiyuxia8173@163.com
  • Supported by:
    NSFC(11301162);Hubei Provincial Department of Education(D20211005);STIP(2019L0963);HLT(2022RC10)

Abstract:

The paper will study several kinds of doubling weights on $\mathbb{R}$. We firstly give sufficient and necessary conditions on which monotonic weights are doubling. Secondly we 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
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