| In this thesis, we mainly concern the sharp Forelli-Rudin estimates for the integrals and Applying some properties of hyper geometric functions, we first express Ic((?)) and Jc,t((?)) in terms of hypergeometric functions. Then, we estimate the functions with the type of2F1(a, b; a+b; u) in different cases and establish the sharp Forelli-Rudin estimates for Ic((?)) and Jc,t((?)) as well as a uniform version of Forelli-Rudin estimates. Finally, as an application, we give a simplified proof for the norm estimates of a class of integral operators on Lpα space. |
