Results 51 to 54 of about 58 (54)

Generalized Hankel operators and the generalized solution operator to $ \bar \partial $ on the Fock space and on the Bergman space of the unit disc

Mathematische Nachrichten, 2006
AbstractIn this paper we consider Hankel operators $ \tilde H _{{\bar z}^k}$ = (Id – P 1)$ \bar z^k $ from A 2(ℂ, |z |2) to A 2,1(ℂ, |z |2)⊥. Here A 2(ℂ, |z |2) denotes the Fock spaceA 2(ℂ, |z |2) = {f: f is entire and ‖f ‖2 = ∫ℂ |f (z)|2 exp (–|z |2) dλ (z) < ∞}.Furthermore A 2,1(ℂ, |z |2) denotes the closure of the linear span of the monomials {$ \
Wolfgang Knirsch, Georg Schneider
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The behaviour on the rays of functions from the Bergman and Fock spaces

Rendiconti del Circolo Matematico di Palermo, 2008
It follows from the classical Fejér-Riesz inequality that \(\int_0^1|f(t ...
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$$L^{p}$$ Estimates for the Bergman Projection on Generalized Fock Spaces

The Journal of Geometric Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Small Fock spaces, small Bergman spaces and their operators

Petits espaces de Fock, petits espaces de Bergman et leurs opérateurs Nous étudions les mesures de Carleson et les opérateurs de Toeplitz sur la classe des espaces de Bergman dite de petite taille, introduits récemment par Seip. On obtient une caractérisation des mesures de Carleson qui étend les résultats de Seip à partir du disque ...
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