Hilbert integrals, singular integrals, and Radon transforms. II
type: Item
instance of: scholarly article
title: Hilbert integrals, singular integrals, and Radon transforms. II
zbMATH Open document ID: 0656.42009
DOI: 10.1007/BF01391496
author: D. H. Phong
author: Elias M. Stein
published in: Inventiones Mathematicae
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143388
review text: This paper is the second of a series dealing with singular Radon transforms, Hilbert integrals, and their applications to boundary value problems. One of its main purposes is to introduce and study the class of Hilbert integral operators. These operators seem to have an interest in their own right. Here we stress their connection with boundary value problems, more particularly how they arise in the \({\bar \partial}\)- Neumann problem. The main tool we use for their study is the fact that they are expressible in terms of singular Radon transforms, whose theory was the subject of the first paper of this series [Acta Math. 157, 99-157 (1986; Zbl 0622.42011)].
Mathematics Subject Classification ID: 42B20
zbMATH DE Number: 4071612
zbMATH Keywords: Hilbert integrals
zbMATH Keywords: singular Radon transforms
MaRDI profile type: Publication
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OpenAlex ID: W3022344599
description: scientific article; zbMATH DE number 4071612