A wavelet characterization for the dual of weighted Hardy spaces
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- by Ming-Yi Lee, Chin-Cheng Lin and Ying-Chieh Lin PDF
- Proc. Amer. Math. Soc. 137 (2009), 4219-4225 Request permission
Abstract:
We define the weighted Carleson measure space $CMO^p_w$ using wavelets, where the weight function $w$ belongs to the Muckenhoupt class. Then we show that $CMO^p_w$ is the dual space of the weighted Hardy space $H^p_w$ by using sequence spaces. As an application, we give a wavelet characterization of $BMO_w$.References
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Additional Information
- Ming-Yi Lee
- Affiliation: Department of Mathematics, National Central University, Chung-Li, Taiwan 320, Republic of China
- MR Author ID: 690140
- Email: mylee@math.ncu.edu.tw
- Chin-Cheng Lin
- Affiliation: Department of Mathematics, National Central University, Chung-Li, Taiwan 320, Republic of China
- Email: clin@math.ncu.edu.tw
- Ying-Chieh Lin
- Affiliation: Department of Mathematics, National Central University, Chung-Li, Taiwan 320, Republic of China
- Email: linyj@math.ncu.edu.tw
- Received by editor(s): November 26, 2008
- Received by editor(s) in revised form: May 4, 2009
- Published electronically: August 3, 2009
- Additional Notes: The first author was supported by NSC of Taiwan under Grant #NSC 97-2115-M-008-005.
The second and third authors were supported by NSC of Taiwan under Grant #NSC 97-2115-M-008-021-MY3. - Communicated by: Hart F. Smith
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 4219-4225
- MSC (2000): Primary 42B30, 42C40
- DOI: https://doi.org/10.1090/S0002-9939-09-10044-8
- MathSciNet review: 2538583