03435nam 2200685 450 991046486790332120210518000110.01-4008-5275-710.1515/9781400852758(CKB)3710000000117129(EBL)1689376(OCoLC)881165593(SSID)ssj0001227662(PQKBManifestationID)11790744(PQKBTitleCode)TC0001227662(PQKBWorkID)11281920(PQKB)10255510(MiAaPQ)EBC1689376(StDuBDS)EDZ0000977498(DE-B1597)447457(OCoLC)881286436(OCoLC)979911043(DE-B1597)9781400852758(Au-PeEL)EBL1689376(CaPaEBR)ebr10876760(CaONFJC)MIL613648(EXLCZ)99371000000011712920140615h20142014 uy 0engur|n#---|u||utxtccrMulti-parameter singular integrals /Brian StreetCourse BookPrinceton, New Jersey ;Oxfordshire, England :Princeton University Press,2014.©20141 online resource (412 p.)Annals of Mathematics Studies ;Number 189Description based upon print version of record.0-691-16251-4 Includes bibliographical references and index.Front matter --Contents --Preface --1. The Calderón-Zygmund Theory I: Ellipticity --2. The Calderón-Zygmund Theory II: Maximal Hypoellipticity --3. Multi-parameter Carnot-Carathéodory Geometry --4. Multi-parameter Singular Integrals I: Examples --5. Multi-parameter Singular Integrals II: General Theory --Appendix A. Functional Analysis --Appendix B. Three Results from Calculus --Appendix C. Notation --Bibliography --IndexThis book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory 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.Annals of mathematics studies ;Number 189.Singular integralsTransformations (Mathematics)Electronic books.Singular integrals.Transformations (Mathematics)515/.98SI 830rvkStreet Brian175382MiAaPQMiAaPQMiAaPQBOOK9910464867903321Multi-parameter singular integrals2477229UNINA