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 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 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 R.

Key words: Weight function, Doubling weight, Doubling measure

CLC Number: 

  • O174.12
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