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Conical maximal
regularity for elliptic operators via Hardy spaces
Yi Huang |
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Vol. 10 (2017), No. 5, 1081–1088
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Abstract |
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We give a technically simple approach to the maximal regularity problem in parabolic tent spaces for second-order, divergence-form, complex-valued elliptic operators. By using the associated Hardy space theory combined with certain - off-diagonal estimates, we reduce the tent space boundedness in the upper half-space to the reverse Riesz inequalities in the boundary space. This way, we also improve recent results obtained by P. Auscher et al. |
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Keywords
maximal regularity operators, tent spaces, elliptic
operators, Hardy spaces, off-diagonal decay, maximal
$L^p$-regularity
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Mathematical Subject Classification 2010
Primary: 42B37
Secondary: 47D06, 42B35, 42B20
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Milestones
Received: 14 April 2016
Accepted: 3 April 2017
Published: 1 July 2017
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Authors |
| Yi Huang | |
| Laboratoire de Mathématiques
d’Orsay Université Paris-Sud Centre National de la Recherche Scientifique Université Paris-Saclay 91405 Orsay France |
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