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5 papers · 2 filters
Composition operators on the Hardy space of the tridisc
Frédéric Bayart
We give a necessary and sufficient condition for a holomorphic self-map of the tridisc to induce a bounded composition operator on the associated Hardy space. This condition de…
The harmonic oscillator on the Moyal-Groenewold plane: an approach via Lie groups and twisted Weyl tuples
Cédric Arhancet, Lukas Hagedorn, Christoph Kriegler +1
This paper investigates the functional calculus of the harmonic oscillator on each Moyal-Groenewold plane, the noncommutative phase space which is a fundamental object in quantum m…
On some questions about composition operators on weighted Hardy spaces
Pascal Lefèvre, Daniel Li, Hervé Queffélec +1
We first consider some questions raised by N. Zorboska in her thesis. In particular she asked for which sequences every symbol with $φ\in H^…
A Fréchet Lie group on distributions
Manon Ryckebusch, Abderrahman Bouhamidi, Pierre-Louis Giscard
Solving non-autonomous systems of ordinary differential equations leads to consider a new product of bivariate distributions called the ~product in the literature. This prod…
Essential norms of composition operators and multipliers acting between different Hardy spaces
Frédéric Bayart
We compute the essential norm of inclusion operators, composition operators and multipliers acting from a closed subspace of some -space into a subspace of some -space, w…