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- Circle discrepancy for checkerboard measures
- DMat0101, Notes 8: Notes Littlewood-Paley inequalities and multipliers
- DMat0101, Notes 7: General Calderón-Zygmund Operators
- DMat0101, Notes 6: Introduction to singular integral operators; the Hilbert transform
- DMat0101, Notes 5: The Hardy-Littlewood maximal function
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Monthly Archives: May 2011
DMat0101, Notes 8: Notes Littlewood-Paley inequalities and multipliers
In this final set of notes we will study the Littlewood-Paley decomposition and the Littlewood-Paley inequalities. These consist of very basic tools in analysis which allow us to decompose a function, on the frequency side, to pieces that have almost … Continue reading
DMat0101, Notes 7: General Calderón-Zygmund Operators
After having studied the Hilbert transform in detail we now move to the study of general Calderón-Zygmund operators, that is operators given formally as for an appropriate kernel . Let us quickly review what we used in order to show … Continue reading