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Record Nr. |
UNINA9910786417503321 |
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Autore |
Street Brian |
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Titolo |
Multi-parameter singular integrals / / Brian Street |
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Pubbl/distr/stampa |
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Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 |
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©2014 |
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ISBN |
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Edizione |
[Course Book] |
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Descrizione fisica |
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1 online resource (412 p.) |
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Collana |
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Annals of Mathematics Studies ; ; Number 189 |
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Classificazione |
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Disciplina |
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Soggetti |
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Singular integrals |
Transformations (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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 -- Index |
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Sommario/riassunto |
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This 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. |
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