## Multi-parameter singular integrals by Brian Street

By Brian Street

This e-book develops a brand new concept of multi-parameter singular integrals linked to Carnot-Carathéodory balls. Brian highway first information the classical concept of Calderón-Zygmund singular integrals and purposes to linear partial differential equations. He then outlines the speculation of multi-parameter Carnot-Carathéodory geometry, the place the most instrument is a quantitative model of the classical theorem of Frobenius. road then offers a number of examples of multi-parameter singular integrals bobbing up clearly in a number of difficulties. the ultimate bankruptcy of the e-book develops a common conception of singular integrals that generalizes and unifies those examples. this is often one of many first basic theories of multi-parameter singular integrals that is going past the product conception of singular integrals and their analogs. *Multi-parameter Singular Integrals* will curiosity graduate scholars and researchers operating in singular integrals and comparable fields.