The Walsh model for $M_2^{*}$ Carleson
Ciprian Demeter, Michael Lacey, Terence Tao, Christoph Thiele
TL;DR
This paper investigates a Walsh model of a maximal truncation of Carleson's operator, connecting harmonic analysis with ergodic theory through the Return Times Theorem.
Contribution
It introduces a Walsh model for a maximal Carleson operator truncation, bridging harmonic analysis and ergodic theory in a novel way.
Findings
Establishes boundedness of the Walsh model for the maximal operator.
Links the model to the Return Times Theorem in ergodic theory.
Provides new insights into the structure of Carleson-type operators.
Abstract
We study the Walsh model of a certain maximal truncation of Carleson's operator, related to the Return Times Theorem from Ergodic Theory.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Banach Space Theory · Mathematical Approximation and Integration