Some Banach spaces of Dirichlet series

We study some L^p spaces of Dirichlet series, particularly two families of Bergman spaces A^p and B^p. We recover classical properties of spaces of analytic functions: boundedness of point evaluation, embeddings between these spaces and "Littlewood-Paley" formulas when p=2. We also show that the B^p spaces have properties similar to the classical Bergman spaces of the unit disk while the A^p spaces have a different behavior.

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Source https://hal.science/hal-00880265
Author Bailleul, Maxime, Lefèvre, Pascal
Maintainer CCSD
Last Updated May 9, 2026, 03:25 (UTC)
Created May 9, 2026, 03:25 (UTC)
Identifier hal-00880265
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire de Mathématiques de Lens (LML) ; Université d'Artois (UA)
creator Bailleul, Maxime
date 2013-10-28T00:00:00
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harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-04-16T00:00:00
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