Multi-Parameter Singular Integrals, Volume I
Multi-Parameter Singular Integrals, Volume I
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Author(s): Street, Brian
ISBN No.: 9780691162522
Pages: 412
Year: 201410
Format: Trade Paper
Price: $ 134.43
Status: Out Of Print

This book develops a new theory of multi-parameter singular integrals associated with Carnot-Caratheodory balls. Brian Street first details the classical theory of Calderon-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Caratheodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. Street then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. "Multi-parameter Singular Integrals" will interest graduate students and researchers working in singular integrals and related fields.".



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