Möbius invariance of analytic Besov spaces in tube domains over symmetric cones

• Autorzy: G. Garrigós
• Języki publikacji: EN

Abstrakty

EN

Besov spaces of holomorphic functions in tubes over cones have been recently defined by Békollé et al. In this paper we show that Besov p-seminorms are invariant under conformal transformations of the domain when n/r is an integer, at least in the range 2-r/n < p ≤ ∞.

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 32A37: Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA))
• 32M15: Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 118
• Numer: 2
• Strony: 559-568

Daty

wydano

2010

Twórcy

autor

G. Garrigós

• Departamento de Matemáticas C-XV, Universidad Autónoma de Madrid, 28049 Madrid, Spain

Identyfikatory

DOI

10.4064/cm118-2-11