Boundedness of the wavelet integral operator on weighted function spaces |
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| Authors: | N. M. Chuong D. V. Duong |
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| Affiliation: | 1. Institute of Mathematics, Vietnamese Academy of Science and Technology, Hanoi, Vietnam
2. Central University of Construction, 24 Nguyen Du str., Tuyhoa city, Phuyen, Vietnam
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| Abstract: | 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. |
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