Boundedness of the Wavelet Integral Operator on Weighted Function Spaces

摘要

The purpose of this paper is to study the boundedness of the wavelet integral operator on the Besov, BMO, and H~1 spaces. Furthermore, for the basic wavelet with compact support, the boundedness of the wavelet transform on the weighted Besov spaces and on the weighted BMO spaces associated with a tempered weight function is also established.