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The converse of
Fatou’s theorem for Zygmund measures
Joan J. Carmona and Juan J. Donaire |
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Vol. 191 (1999), No. 2, 207–222
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Abstract |
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The converse of Fatou’s theorem is true for positive measures but not for arbitrary measures. We prove that the converse holds for Zygmund (smooth) measures, being this result sharp in some sense. We also give an application to differentiation of positive singular measures in the little Zygmund class. |
Milestones
Received: 3 March 1997
Revised: 27 October 1998
Published: 1 December 1999
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Authors |
| Joan J. Carmona | |
| Universitat Autònoma de
Barcelona 08193 Bellaterra Barcelona Spain |
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| Juan J. Donaire | |
| Universitat Autònoma de
Barcelona 08193 Bellaterra Barcelona Spain |
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