期刊论文

Wang, Hua

英文

Mathematical Methods in the Applied Sciences

0170-4214

2019

42

1

237-249

10.1002/mma.5339

The authors would like to thank Professors Dachun Yang and Wen Yuan for sending us some of their papers. Qixiang Yang is supported by NSFC, 11571261 and Hua Wang is supported by NSFC, 11771165 and 11571131. National Natural Science Foundation of China, Grant/Award Number: 11101172, 11371158, 11571131 and 11571261

本校为通讯机构

In this paper, we apply wavelets to consider local norm function spaces with the Lorentz index. Triebel–Lizorkin–Lorentz spaces are based on the real interpolation of the Triebel–Lizorkin spaces. Triebel–Lizorkin–Morrey spaces are based on local norm of the Triebel–Lizorkin spaces. We give a unified depict of spaces that include these two kinds of spaces. Each index of the five index spaces represents a property of functions. We prove the wavelet characterization of the Triebel–Lizorkin–Lorentz–Morrey spaces and use such cha...