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Monthly Archives: May 2011
DMat0101, Notes 8: Notes LittlewoodPaley inequalities and multipliers
In this final set of notes we will study the LittlewoodPaley decomposition and the LittlewoodPaley 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 CalderónZygmund Operators
After having studied the Hilbert transform in detail we now move to the study of general CalderónZygmund operators, that is operators given formally as for an appropriate kernel . Let us quickly review what we used in order to show … Continue reading