Orlicz 空间小波展开的收敛性

Convergence of Wavelet Expansions in the Orlicz Space

中文关键词:  逐点收敛  小波  Orlicz 空间.

英文关键词:pointwise convergence  wavelet  Orlicz spaces.

中文摘要:

      本文研究了Orlicz空间上函数小波展开的依范数收敛及逐点收敛性,在一定的条件下，证明了小波展开按 Orlicz空间范数收敛以及几乎处处收敛.

英文摘要:

      In this paper we study the convergence in norm and pointwise convergence of wavelet expansion in the Orlicz spaces, and prove that, under certain conditions on the wavelet, the wavelet expansion converges in the Orlicz-norm and also converges almost everywhere.