Work

Cauchy-szego Projections and Related Topics

Year: 2024

Type: article

Abstract: In this survey article, we give a comprehensive review of Calder´ on-Zygmund operators from the point of view of Cauchy-Szeg¨ o projections and the sharp estimates of the operators in Hardy spaces. Cauchy-Szeg¨ o projections is closed related to the Hilbert transform which is a typical example of the so called “first generation” of singular integral operators and has been studied by mathematicians for many years, We started with the case in unit disk D1 in C1 and then move to the unbounded unit ball Bn+1 in Cn+1. Analysis on Rn and Hn are quite different. We try to explain the idea behind it carefully.

Source: Applicable Nonlinear Analysis

DOI: 10.69829/apna-024-0102-ta01

Authors: DER-CHEN CHANG, XINFENG WU, JEN-CHIH YAO

Institutions: Fu Jen Catholic University, Georgetown University, China University of Mining and Technology - Beijing, China Medical University, Academia Oamenilor de Știință din România

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Georgetown University, National Natural Science Foundation of China

Award: G3858876973