Properties of the Bellman function related to the Carleson Imbedding theorem for the dyadic maximal operator
Eleftherios N. Nikolidakis
TL;DR
This paper characterizes the Bellman function associated with the Carleson Imbedding theorem for the dyadic maximal operator using the Hardy operator, advancing the understanding of its properties.
Contribution
It offers a new description of the Bellman function related to the Carleson Imbedding theorem through the Hardy operator, which was previously not well-understood.
Findings
Provides a detailed description of the Bellman function
Links the Bellman function to the Hardy operator
Enhances understanding of the Carleson Imbedding theorem
Abstract
We provide a description for the Bellman function related to the Carleson Imbedding theorem, first mentioned in [4], with the use of the Hardy operator.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Differential Equations and Boundary Problems · Holomorphic and Operator Theory