fractional integral
2.This paper discusses the boundedness of some type Toeplitz operators which come from a family of singular integral and fractional integral operators as well as BMO functions on spaces of homogeneous type.
3.The boundedness of the higher order commutators generated by functions in Besov spaces and Calderón-Zygmund singular integral operators,and the boundedness of the corresponding higher order commutators of fractional integral operators are proved.
4.The boundedness of the mth order commutators m and m is obtained,where b∈p,qβ(Rd),T and Il denote the Calderón-Zygmund operator and fractional integral operator respectively.
5.In this paper, the authors study the continuity properties of higher order commutators generated by the homogeneous fractional integral and BMO functions on certain Hardy spaces, weak Hardy spaces and Herz-type Hardy spaces.
7.Based on theoretical analysis of synchronization errors on the performance of OFDM systems, normal synchronization algorithms for MMO-OFDM system under burst mode transmission, including frame detection, coarse timing, fractional frequency offset estimation, integral frequency offset estimation, fine timing, sampling frequency error correction and residual phase tracking are designed and simulated in sequence.

