Details

Autor(en) / Beteiligte

• López-García, Marcos
• Pérez-Esteva, Salvador

Titel

Norm Estimates for Toeplitz Operators on the Bergman Space with Symbols Supported in Circles and Mixed Norms

Ist Teil von

• Complex analysis and operator theory, 2017-03, Vol.11 (3), p.707-726

Ort / Verlag

Cham: Springer International Publishing

Erscheinungsjahr

2017

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper we study the class of Toeplitz operators T φ , for which ∫ 0 1 1 - t q - 1 T φ d σ t p q d t < ∞ , for 1 ≤ p , q < ∞ , where φ ∈ L 1 ( D ) , σ t is the Lebesgue measure in the circle | ξ | = t and · p is the p -Schatten norm of operators defined on the Bergman space of the disc. For that purpose we study the dependence on t of the norm and the p -Schatten norms of Toeplitz operators whose symbols are measures μ supported in the circle t S 1 with a positive density in L 1 ( t S 1 ) .