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Algebra i Analiz, 2018 Volume 30, Issue 4, Pages 140–178 (Mi aa1611)

Research Papers

Toeplitz and Hankel operators from Bergman to analytic Besov spaces of tube domains over symmetric cones

C. Nanaa, B. F. Sehbab

a Department of Mathematics, Faculty of Science, University of Buea, P.O. Box 63, Buea, Cameroon
b Department of Mathematics, University of Ghana, P.O. Box LG 62, Legon, Accra, Ghana

Abstract: The bounded Toeplitz and Hankel operators from weighted Bergman spaces to weighted Besov spaces in tube domains over symmetric cones are characterized. Weak factorization results are deduced for some Bergman spaces in these settings.

Keywords: Bergman projection, Hankel operator, Toeplitz operator, Besov space, symmetric cone.

MSC: 30H20

Received: 08.03.2017

Language: English


 English version:
St. Petersburg Mathematical Journal, 2019, 30:4, 723–750

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© Steklov Math. Inst. of RAS, 2024