In this paper, we investigate sufficient and necessary conditions such that generalized Forelli-Rudin type operators $T_{\lambda,\tau,k}$, $S_{\lambda,\tau,k}$, $Q_{\lambda,\tau,k}$ and $R_{\lambda,\tau,k}$ are bounded between Lebesgue type spaces. In order to prove the main results, we first give some bidirectional estimates for several typical integrals.
Xuejun ZHANG
,
Yuting GUO
,
Hongxin CHEN
,
Pengcheng TANG
. GENERALIZED FORELLI-RUDIN TYPE OPERATORS BETWEEN SEVERAL FUNCTION SPACES ON THE UNIT BALL OF $\bf \mathbb{C}^{n}$[J]. Acta mathematica scientia, Series B, 2024
, 44(4)
: 1301
-1326
.
DOI: 10.1007/s10473-024-0407-5
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