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9781470470425 Academic Inspection Copy

Multi-scale Sparse Domination

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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
David Beltran, Universitat de Valencia, Burjassot, Spain, Joris Roos, University of Massachusetts Lowell, Massachusetts, and Andreas Seeger, University of Wisconsin-Madison, Wisconsin.
1. Introduction 2. Necessary Conditions 3. Single scale sparse domination 4. Proof of the main result 5. Maximal operators, square functions and long variations 6. Fourier multipliers 7. Sample applications A. Facts about sparse domination B. Sparse domination: Cases where $p=1$ or $q=\infty $ C. Facts about fourier multipliers
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