# Accession Number:

## AD0263228

# Title:

## THE RIESZ TRANSFORM. PART II. POTENTIAL OPERATORS

# Descriptive Note:

# Corporate Author:

## WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

# Personal Author(s):

# Report Date:

## 1961-06-01

# Pagination or Media Count:

## 1.0

# Abstract:

A mathematical analysis is made by use of the Riesz transform in which potential operators are integral operators whose kernels can be made differentiable by subtracting finite sums of products of integer powers of the distance with infinitely differentiable kernels. The most interesting property of these operators is one which asserts that the product of any number of potential operators is in essence, a potential operator. Several theorems and proofs are presented.