Tag Archives: maximal function

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

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Course Announcement DMat0101: Harmonic Analysis, PhD course at IST

This semester, starting the week 14-21 of February, I’m giving a course in Harmonic Analysis on the PhD level as part of the Doctoral Program in Mathematics at the Department of Mathematics at IST. I will use this blog in … Continue reading

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The maximal function along a polynomial curve; effective dimension bounds.

In this post I will try to give a description of an older result of mine that studies the operator norm of the maximal function along a polynomial curve. The relevant paper can be found here. The main object of … Continue reading

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