Acta mathematica scientia,Series B ›› 2024, Vol. 44 ›› Issue (4): 1301-1326.doi: 10.1007/s10473-024-0407-5

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GENERALIZED FORELLI-RUDIN TYPE OPERATORS BETWEEN SEVERAL FUNCTION SPACES ON THE UNIT BALL OF Cn

Xuejun ZHANG1,*, Yuting GUO1, Hongxin CHEN2, Pengcheng TANG3   

  1. 1. College of Mathematics and Statistics, Hunan Normal University, Changsha 410081, China;
    2. School of Mathematics, Hunan University, Changsha 410082, China;
    3. School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, China
  • Received:2023-01-04 Revised:2023-10-14 Online:2024-08-25 Published:2024-08-30
  • Contact: *E-mail: xuejunttt@263.net
  • About author:E-mail: 947016922@qq.com;1755310775@qq.com;www.tang-tpc.com@foxmail.com
  • Supported by:
    Zhang's work was supported by the Natural Science Foundation of Hunan Province of China (2022JJ30369) and the Education Department Important Foundation of Hunan Province in China (23A0095).

Abstract: In this paper, we investigate sufficient and necessary conditions such that generalized Forelli-Rudin type operators Tλ,τ,k, Sλ,τ,k, Qλ,τ,k and Rλ,τ,k are bounded between Lebesgue type spaces. In order to prove the main results, we first give some bidirectional estimates for several typical integrals.

Key words: Forelli-Rudin type operator, Lp,q,s,k(Bn) space, boundedness, unit ball

CLC Number: 

  • 32A37
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