Chinese Quarterly Journal of Mathematics ›› 2022, Vol. 37 ›› Issue (1): 94-102.doi: 10.13371/j.cnki.chin.q.j.m.2022.01.010

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Parameter Conditions for Hilbert-Type Operator Bounded with Homogeneous Kernels between Sequence Space l and Function Space L

  

  1. 1. Department of Applied Mathematics, Guangzhou Huashang College,
    2. Department of Mathematics, Guangdong University of Education
  • Received:2021-10-19 Online:2022-03-30 Published:2022-03-30
  • Contact: FENG Ming-jun (1976-), male, native of Huangmei, Hubei, lecturer of Guangdong University of Education, engages in analytical inequalities. E-mail: fengmingjun100@163.com
  • About author:HONG Yong (1959-), male, native of Zhaotong, Yunnan, professor of Guangzhou Huashang College, engages in harmonic analysis and analytical inequalities; FENG Ming-jun (1976-), male, native of Huangmei, Hubei, lecturer of Guangdong University of Education, engages in analytical inequalities.
  • Supported by:

    Supported by Guangdong Basic and Applied Basic Research Foundation Natural Science Foundation (Grant No. 2021A1515010055);

    Guangzhou Science and Technology Plan Project (Grant No. 202102080177).

Abstract: By using the technique of real analysis, the parameter conditions for Hilbert-type series operator and integral operator......

Key words: Hilbert-type series operator, Hilbert-type integral operator, Mixed Hilbert-type inequality, Bounded operator, Operator norm, Homogeneous kernel

CLC Number: