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Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

A wavelet characterization for the dual of weighted Hardy spaces

Author(s): Ming-Yi Lee; Chin-Cheng Lin; Ying-Chieh Lin
Journal: Proc. Amer. Math. Soc. 137 (2009), 4219-4225.
MSC (2000): Primary 42B30, 42C40
Posted: August 3, 2009
MathSciNet review: 2538583
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Abstract | References | Similar articles | Additional information

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:

1.
J. Garcia-Cuerva, Weighted $ H^p$ spaces, Dissertationes Math. 162 (1979), 1-63. MR 549091 (82a:42018)

2.
J. Garcia-Cuerva and J. M. Martell, Wavelet characterization of weighted spaces, J. Geom. Anal. 11 (2001), 241-264. MR 1856178 (2002h:42039)

3.
J. García-Cuerva and J. L. Rubio de Francia, Weighted Norm Inequalities and Related Topics, North-Holland, Amsterdam, 1985. MR 807149 (87d:42023)

4.
Y. Meyer, Wavelets and Operators, Cambridge Studies in Advanced Mathematics, Vol. 37, Cambridge University Press, Cambridge, 1992. MR 1228209 (94f:42001)

5.
S. Wu, A wavelet characterization for weighted Hardy spaces, Rev. Mat. Iberoamericana 8 (1992), 329-349. MR 1202414 (94i:42027)

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Additional Information:

Ming-Yi Lee
Affiliation: Department of Mathematics, National Central University, Chung-Li, Taiwan 320, Republic of China
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

DOI: 10.1090/S0002-9939-09-10044-8
PII: S 0002-9939(09)10044-8
Keywords: $BMO_w$, orthonormal wavelets, weighted Carleson measure spaces, weighted Hardy spaces.
Received by editor(s): November 26, 2008,
Received by editor(s) in revised form: May 4, 2009
Posted: 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 of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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