On the singular Bochner-Martinelli integral (Q1281547)

The classical result of M. Shapiro and N. Vasilevski about the square of the two-dimensional Martinelli-Bochner singular integral operator was obtained as the consequence of the involution theorem for the quaternionic Cauchy singular integral. Thus, it is quite natural to solve this problem for \(m\)-dimensional Martinelli-Bochner singular integral operator \((m\geq 2\) is an arbitrary positive integer) using Clifford analysis. Such important general result for the square of the Martinelli-Bochner singular integral operator is obtained by means of the theory of the Clifford-Cauchy integral in the present paper.