Blar i NTNU Open på forfatter "Bayart, Frederic"
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Approximation numbers of composition operators on H^p spaces of Dirichlet series
Bayart, Frederic; Queffelec, Herve; Seip, Kristian (Journal article; Peer reviewed, 2016)By a theorem of the first named author, $\varphi $ generates a bounded composition operator on the Hardy space ${\mathscr{H}}^p$of Dirichlet series $(1\le p<\infty )$ only if $\varphi (s)=c_0 s+\psi (s)$, where $c_0$ is a ... -
Compact composition operators with non-linear symbols on the H2 space of Dirichlet series
Bayart, Frederic; Brevig, Ole Fredrik (Journal article; Peer reviewed, 2017)We investigate compactness of composition operators on the Hardy space of Dirichlet series induced by a map φ(s)=c0s+φ0(s), where φ0 is a Dirichlet polynomial. Our results depend heavily on the characteristic c0 of φ and, ... -
Composition operators and embedding theorems for some function spaces of Dirichlet series
Bayart, Frederic; Brevig, Ole Fredrik (Journal article; Peer reviewed, 2019)We observe that local embedding problems for certain Hardy and Bergman spaces of Dirichlet series are equivalent to boundedness of a class of composition operators. Following this, we perform a careful study of such ...