Hilbert integrals, singular integrals, and Radon transforms. II
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)].
scientific article; zbMATH DE number 4071612
scientific article