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Generalized Forelli-Rudin type operators between several function spaces on the unit ball of ℂn

  • Xuejun Zhang,
  • Yuting Guo,
  • Hongxin Chen,
  • Pengcheng Tang

摘要

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.