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Abstract
We study the Campanato spaces Λk q,P associated with a family P of parabolic sections which are closely related to the parabolic Monge-Ampère equation. We characterize these spaces in terms of Lipschitz spaces LiPα P. We also introduce the corresponding Hardy spaces Hp P and demonstrate the equivalence between the Littlewood-Paley g-functions and atomic decompositions for elements in Hp P. Moreover, we show that Campanato spaces are the duals of Hardy spaces.
Original language | English |
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Pages (from-to) | 183-198 |
Number of pages | 16 |
Journal | Asian Journal of Mathematics |
Volume | 20 |
Issue number | 1 |
DOIs | |
State | Published - 2016 |
Keywords
- Campanato spaces
- Hardy spaces
- Lipschitz spaces
- Monge-Ampère equations
- Parabolic sections
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Dive into the research topics of 'Characterization of Campanato spaces associated with parabolic sections'. Together they form a unique fingerprint.Projects
- 1 Finished
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Besov Spaces Associated to Monge-Ampere Equations(1/2)
Lee, M.-Y. (PI)
1/08/15 → 31/07/16
Project: Research