An interpolation theorem between one-sided Hardy spaces
In this paper we generalize an interpolation result due to J.-O. Strömberg and A. Torchinsky to the case of one-sided Hardy spaces. This generalization is important in the study of the weak type (1,1) for lateral strongly singular operators. We shall need an atomic decomposition in which for every a...
| Autores principales: | , , |
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| Formato: | Artículo publishedVersion |
| Publicado: |
2006
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00042080_v44_n2_p335_Ombrosi https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00042080_v44_n2_p335_Ombrosi_oai |
| Aporte de: |
| Sumario: | In this paper we generalize an interpolation result due to J.-O. Strömberg and A. Torchinsky to the case of one-sided Hardy spaces. This generalization is important in the study of the weak type (1,1) for lateral strongly singular operators. We shall need an atomic decomposition in which for every atom there exists another atom supported contiguously at its right. In order to obtain this decomposition we have developed a rather simple technique to break up an atom into a sum of others atoms. © 2006 by Institut Mittag-Leffler. All rights reserved. |
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