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University of Birmingham > Talks@bham > Analysis Seminar > Subdyadic square functions and applications
Subdyadic square functions and applicationsAdd to your list(s) Download to your calendar using vCal
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 Rd 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:Note that ex-directory lists are not shown. |
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