Tag Archives: Calderon-Zygmund decomposition

DMat0101, Notes 6: Introduction to singular integral operators; the Hilbert transform

Posted on April 10, 2011 by

This week we come to the study of singular integral operators, that is operators of the form defined initially for `nice’ functions . Here we typically want to include the case where has a singularity close to the diagonal which … Continue reading →

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DMat0101, Notes 5: The Hardy-Littlewood maximal function

Posted on March 29, 2011 by

1. Averages and maximal operators This week we will be discussing the Hardy-Littlewood maximal function and some closely related maximal type operators. In order to have something concrete let us first of all define the averages of a locally integrable … Continue reading →

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