Analytic Besov spaces and Hardy-type inequalities in tube domains over symmetric cones

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dc.creatorBékollé, D.
dc.creatorBonami, A.
dc.creatorGarrigós, G.
dc.creatorRicci, F.
dc.creatorSehba, B.
dc.date2009-02-17
dc.date.accessioned2026-07-07T12:42:54Z
dc.date.available2026-07-07T12:42:54Z
dc.descriptionWe give various equivalent formulations to the (partially) open problem about $L^p$-boundedness of Bergman projections in tubes over cones. Namely, we show that such boundedness is equivalent to the duality identity between Bergman spaces, $A^{p'}=(A^p)^*$, and also to a Hardy type inequality related to the wave operator. We introduce analytic Besov spaces in tubes over cones, for which such Hardy inequalities play an important role. For $p\geq 2$ we identify as a Besov space the range of the Bergman projection acting on $L^p$, and also the dual of $A^{p'}$. For the Bloch space $\SB^\infty$ we give in addition new necessary conditions on the number of derivatives required in its definition.
dc.identifierhttps://arxiv.org/abs/0902.2928
dc.identifierhttp://arxiv.org/abs/0902.2928
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220242
dc.subjectClassical Analysis and ODEs
dc.subjectComplex Variables
dc.subject42B35, 32M15
dc.titleAnalytic Besov spaces and Hardy-type inequalities in tube domains over symmetric cones
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