JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (8): 1-5.doi: 10.6040/j.issn.1671-9352.0.2023.477

   

Boundedness of fractional maximal operators with doubling measure on homogeneous trees

YE Xiaofeng, XIONG Shoulong, JIANG Zhicong   

  1. School of Science, East China Jiaotong University, Nanchang 330013, Jiangxi, China
  • Published:2025-07-25

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Abstract: We defined the fractional maximal operators and found a control function related to the maximal operators. We obtain the boundedness of fractional maximal operators on homogeneous trees from the weak(1,1)type of maximal operators.

Key words: homogeneous trees, fractional maximal operator, doubling measure

CLC Number: 

  • O177
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