Monge--Ampère equation and Bellman optimization of Carleson Embedding Theorems

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dc.creatorVasyunin, Vasily
dc.creatorVolberg, Alexander
dc.date2008-03-14
dc.date2008-03-26
dc.date.accessioned2026-07-07T09:28:14Z
dc.date.available2026-07-07T09:28:14Z
dc.descriptionMonge--Ampère equation plays an important part in Analysis. For example, it is instrumental in mass transport problems. On the other hand, the Bellman function technique appeared recently as a way to consider certain Harmonic Analysis problems as the problems of Stochastic Optimal Control. This brings us to Bellman PDE, which in stochastic setting is often a Monge--Ampère equation or its close relative. We explore the way of solving Monge--Ampère equation by a sort of method of characteristics to find the Bellman function of certain classical Harmonic Analysis problems, and, therefore, of finding full structure of sharp constants and extremal sequences for those problems.
dc.identifierhttps://arxiv.org/abs/0803.2247
dc.identifierhttp://arxiv.org/abs/0803.2247
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157383
dc.subjectAnalysis of PDEs
dc.subject28A80, 28A75, 60D05
dc.titleMonge--Ampère equation and Bellman optimization of Carleson Embedding Theorems
dc.typetext

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