Weighted \(L^ p\) estimates for the Cauchy integral operator
type: Item
instance of: scholarly article
title: Weighted \(L^ p\) estimates for the Cauchy integral operator
zbMATH Open document ID: 0552.42008
author: Basil C. Krikeles
published in: Michigan Mathematical Journal
publication date: 1983-01-01T00:00:00Z
review text: The author discusses the Cauchy integral operator for a curve, which was studied by Calderon, Coifman, Meyer, McIntosh and David. He gives a direct derivation of weighted \(L^ p\) estimates for the operator with weights that can be explicitly exhibited in a way that clarifies the role played by geometry of the curve. A weak-type (1,1) estimate is also given in this paper. The proof of the results is interesting, it provides a good illustration of the interplay between analysis and geometry.
Mathematics Subject Classification ID: 42B20
zbMATH DE Number: 3879485
zbMATH Keywords: Cauchy integral operator for a curve
zbMATH Keywords: weighted \(L^ p\) estimates
zbMATH Keywords: weak- type (1,1) estimate
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1029002854
OpenAlex ID: W1982848492
DOI: 10.1307/MMJ/1029002854
description: scientific article; zbMATH DE number 3879485