February 26, 2024Revista Matemática IberoamericanaOpen Access

Schatten class composition operators on the Hardy space of Dirichlet series and a comparison-type principle

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Necessary and sufficient conditions determine when composition operators belong to Schatten classes on the Hardy space of Dirichlet series, resolving criteria for index values p >= 2.
Analysis using classical geometric function theory establishes a comparison-type principle and proves an analogue of the polygonal compactness theorem for Dirichlet series spaces.
Findings highlight geometric operator behaviour and provide concrete examples of bounded composition operators across Hardy spaces of Dirichlet series for all positive exponents.

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Implication

Theoretical analysis establishes Schatten class criteria for composition operators on Dirichlet series Hardy spaces, revealing geometric conditions for polygonal compactness.

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Bayart et al. (2024) studied this question.

synapsesocial.com/papers/68e778dab6db6435876edae5 https://doi.org/10.4171/rmi/1474

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Implication

Theoretical analysis establishes Schatten class criteria for composition operators on Dirichlet series Hardy spaces, revealing geometric conditions for polygonal compactness.

Schatten class composition operators on the Hardy space of Dirichlet series and a comparison-type principle

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Discussion

Implication

Cite This Study

Schatten class composition operators on the Hardy space of Dirichlet series and a comparison-type principle

Key Points

Discussion

Implication

Cite This Study

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