Supported by NSFC(Grant Nos.11071065 and 11171306)
We study the open question on determination of jumps for functions raised by Shi and Hu in 2009. An affirmative answer is given for the case that spline-wavelet series are used to approximate the functions.
Supported by the National Natural Science Foundation of China(11071065 and 11171306)
In this paper, several new results on the boundedness of parammetric Marcinkiewicz integrals on the weighted Hardy spaces and the weak weighted Hardy spaces are established.
Supported by the National Natural Science Foundation of China(11071065,11171306)
In this paper, we will introduce multiresolution analysis with composite dilations and give a characterization of generator for multiresolution analysis with composite dilations.
Supported by the National Natural Science Foundation of China(11171306,11226104,11271330);the Jiangxi Natural Science Foundation of China(20114BAB211007);the Science Foundation of Jiangxi Education Department(GJJ13703)
In this paper, the authors prove the boundedness of the multilinear maximal func- tions, multilinear singular integrals and multilinear Riesz potential on the product generalized Rn Rn Morrey spaces Mp1,ωw1 (Rn)...