J. Rättyä

activity

20142024

most citedEmbedding theorems for Bergman spaces via harmonic analysis

78 citations · 104 across the 15 of their papers we have counts for

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Showing 2014Show all

4 papers · 1 filter

math.FA2014

Trace class criteria for Toeplitz and composition operators on small Bergman spaces

José Ángel Peláez, Jouni Rättyä

We characterize the Schatten class Toeplitz operators induced by a positive Borel measure on the unit disc and the reproducing kernel of the Bergman space $A_{ω}^{2}$ , where $ω$ is a r…

math.CV2014★ 78 cited

Embedding theorems for Bergman spaces via harmonic analysis

José Ángel Peláez, Jouni Rättyä

Let $A_{ω}^{p}$ denote the Bergman space in the unit disc induced by a radial weight~ $ω$ with the doubling property $\int_{r}^{1} ω (s) d s \leq C \int_{\frac{1 + r}{2}}^{1} ω (s) d s$ . The positiv…

math.CA2014

Mean growth and geometric zero distribution of solutions of linear differential equations

Janne Gröhn, Artur Nicolau, Jouni Rättyä

The aim of this paper is to consider certain conditions on the coefficient $A$ of the differential equation $f " + A f = 0$ in the unit disc, which place all normal solutions $f$ to the…

math.FA2014

Two weight inequality for Bergman projection

José Ángel Peláez, Jouni Rättyä

The motivation of this paper comes from the two weight inequality $∥ P_{ω} (f) ∥_{L_{v}^{p}} \leq C ∥ f ∥_{L_{v}^{p}}, f \in L_{v}^{p},$ for the Bergman projection $P_{ω}$ in the unit disc. We s…