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Duals of homogeneous weighted sequence Besov spaces and applications

Duals of homogeneous weighted sequence Besov spaces and applications Abstract In this article, we study the duals of homogeneous weighted sequence Besov spaces , where the weight w is non-negative and locally integrable. In particular, when 0 < p < 1, we find a type of new sequence spaces which characterize the duals of . Also, we find the necessary and sufficient conditions for the boundedness of diagonal matrices acting on homogeneous weighted sequence Besov spaces. Using these results, we give some applications to characterize the boundedness of Fourier–Haar multipliers and paraproduct operators. In this situation, we need to require that the weight w is an A p weight. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Analysis de Gruyter

Duals of homogeneous weighted sequence Besov spaces and applications

Journal of Applied Analysis , Volume 17 (2) – Dec 1, 2011

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Publisher
de Gruyter
Copyright
Copyright © 2011 by the
ISSN
1425-6908
eISSN
1869-6082
DOI
10.1515/jaa.2011.012
Publisher site
See Article on Publisher Site

Abstract

Abstract In this article, we study the duals of homogeneous weighted sequence Besov spaces , where the weight w is non-negative and locally integrable. In particular, when 0 < p < 1, we find a type of new sequence spaces which characterize the duals of . Also, we find the necessary and sufficient conditions for the boundedness of diagonal matrices acting on homogeneous weighted sequence Besov spaces. Using these results, we give some applications to characterize the boundedness of Fourier–Haar multipliers and paraproduct operators. In this situation, we need to require that the weight w is an A p weight.

Journal

Journal of Applied Analysisde Gruyter

Published: Dec 1, 2011

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