多項式調變不變奇異積分算子

Abstract

本文針對多項式卡爾松算子高維推廣在勒貝格空間下的有界性作深入探討。相比於Victor Lie與Pavel Zorin-Kranich之前的工作，該文章的主要貢獻包含：以具體的構造法來確認細節論證、用稀疏算子的語言來重新詮釋部分證明、及提供一個具教學啟發性的完整說明。

We deeply study the Lp boundedness of the generalization of Polynomial Carleson Operator. Our main contributions, comparing to previous works done by Victor Lie and by Pavel Zorin-Kranich, are to verify de- tails with explicit constructions, modify some part with language of Sparse Dominance, and provide a heuristic interpretation about the whole treatment in general.