Variable 2-Microlocal Besov-Triebel-Lizorkin-Type Spaces

作者:Su;Qing;WU;Da;Chun;YANG;Wen;YUAN;Ci;Qiang;ZHUO 刊名:数学学报:英文版 上传者:刘照昌

【摘要】This article is devoted to the study of variable 2-microlocal Besov-type and Triebel- Lizorkin-type spaces. These variable function spaces are defined via a Fourier-analytical approach. The authors then characterize these spaces by means of Q-transforms, Peetre maximal functions, smooth atoms, ball means of differences and approximations by analytic functions. As applications, some re- lated Sobolev-type embeddings and trace theorems of these spaces are Mso established. Moreover, some obtained results, such as characterizations via approximations by analytic functions, are new even for the classical variable Besov and Triebel-Lizorkin spaces.

参考文献

引证文献

问答

我要提问