On the Principle of Duality in Lorentz Spaces

characterization of the spaces dual to weighted Lorentz spaces are given by means of reverse Hölder inequalities (Theorems 2.1, 2.2). This principle of duality is then applied to characterize weight functions for which the identity operator, the Hardy-Littlewood maximal operator and the Hilbert tran...

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Published in:Canadian journal of mathematics 1996-10, Vol.48 (5), p.959-979
Main Authors: Gol'Dman, M. L., Heinig, H. P., Stepanov, V. D.
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Language:English
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description characterization of the spaces dual to weighted Lorentz spaces are given by means of reverse Hölder inequalities (Theorems 2.1, 2.2). This principle of duality is then applied to characterize weight functions for which the identity operator, the Hardy-Littlewood maximal operator and the Hilbert transform are bounded on weighted Lorentz spaces.
doi_str_mv 10.4153/CJM-1996-050-3
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title On the Principle of Duality in Lorentz Spaces
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