Displaying similar documents to “Möbius invariance of analytic Besov spaces in tube domains over symmetric cones”

Möbius invariant Besov spaces on the unit ball of C n

Małgorzata Michalska, Maria Nowak, Paweł Sobolewski (2011)

Annales UMCS, Mathematica

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We give new characterizations of the analytic Besov spaces Bp on the unit ball B of Cn in terms of oscillations and integral means over some Euclidian balls contained in B.

Three related problems of Bergman spaces of tube domains over symmetric cones

Aline Bonami (2002)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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It has been known for a long time that the Szegö projection of tube domains over irreducible symmetric cones is unbounded in L p for p ≠ 2 . Indeed, this is a consequence of the fact that the characteristic function of a disc is not a Fourier multiplier, a fundamental theorem proved by C. Fefferman in the 70’s. The same problem, related to the Bergman projection, deserves a different approach. In this survey, based on joint work of the author with D. Békollé, G. Garrigós, M. Peloso and F. Ricci,...