Subdyadic square functions and applications

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• David Beltran (University of Birmingham)
• Monday 30 November 2015, 16:00-17:00
• Lecture Theatre 4, Strathcona Building.

If you have a question about this talk, please contact Alessio Martini.

We introduce variants of the classical Littlewood-Paley g-functions that decouple and recouple frequency decompositions at scales finer than dyadic. This allow us to obtain pointwise estimates for highly-singular Fourier multipliers on R^d satisfying regularity hypothesis at such finer scales.

As a consequence, we bound such multipliers by geometrically-defined maximal operators via L²-weighted inequalities. In particular, our results apply to oscillatory integral operators and solution operators for dispersive PDE , such as the time-dependent free Schrödinger equation. This is joint work with Jon Bennett.

This talk is part of the Analysis seminar series.

This talk is included in these lists:

• Analysis seminar
• Lecture Theatre 4, Strathcona Building
• School of Mathematics events

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