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Pré-Publication, Document De Travail Année : 2017

Lacunary Müntz spaces: isomorphisms and Carleson embeddings

Pascal Lefèvre
Loïc Gaillard
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Résumé

In this paper we prove that M p Λ is almost isometric to p in the canonical way when Λ is lacunary with a large ratio. On the other hand, our approach can be used to study also the Carleson measures for Müntz spaces M p Λ when Λ is lacunary. We give some necessary and some sufficient conditions to ensure that a Carleson embedding is bounded or compact. In the hilbertian case, the membership to Schatten classes is also studied. When Λ behaves like a geometric sequence the results are sharp, and we get some characterizations.
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Dates et versions

hal-01438434 , version 1 (17-01-2017)

Identifiants

  • HAL Id : hal-01438434 , version 1

Citer

Pascal Lefèvre, Loïc Gaillard. Lacunary Müntz spaces: isomorphisms and Carleson embeddings. 2017. ⟨hal-01438434⟩

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