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Multi-parameter Singular Integrals. (AM-189)$
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Brian Street

Print publication date: 2014

Print ISBN-13: 9780691162515

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691162515.001.0001

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Multi-parameter Singular Integrals I: Examples

Multi-parameter Singular Integrals I: Examples

Chapter:
(p.223) Chapter Four Multi-parameter Singular Integrals I: Examples
Source:
Multi-parameter Singular Integrals. (AM-189)
Author(s):

Brian Street

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691162515.003.0004

This chapter discusses a few special cases where a theory of multi-parameter singular integral operators has already been developed. These include the product theory of singular integrals, convolution with flag kernels on graded groups, convolution with both the left and right invariant Calderón–Zygmund singular integral operators on stratified Lie groups, and composition of standard pseudodifferential operators with certain singular integrals corresponding to non-Euclidean geometries. The chapter outlines these examples and their applications and relates them to the trichotomy discussed in Chapter 1.

Keywords:   singular integral operator, singular integrals, flag kernels, convolution, Calderón–Zygmund

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