SMS scnews item created by Daniel Daners at Sun 3 Feb 2019 1849
Type: Seminar
Distribution: World
Expiry: 11 Feb 2019
Calendar1: 11 Feb 2019 1400-1500
CalLoc1: AGR Carslaw 829
CalTitle1: PDESeminar: Spaces of functions invariant under Fourier integral operators of order zero (Hassell)
Auth: daners@d27-99-38-95.bla1.nsw.optusnet.com.au (ddan2237) in SMS-WASM

Spaces of functions invariant under Fourier integral operators of order zero

Hassell

Andrew Hassell
Australian National University, Canberra, Australia
Mon 11th Feb 2019, 2-3pm, Carslaw Room 829 (AGR)

Abstract

It was proved by Seeger, Sogge and Stein that Fourier Integral operators (FIOs) in $n$ dimensions map the Hardy space ${H}^{1}$ into ${L}^{1}$ provided they have sufficiently negative order, that is, no bigger than $-\left(n-1\right)∕2$. I will describe joint work with Pierre Portal and Jan Rozendaal, based on earlier work of Hart Smith, on constructing Hardy-type spaces that are invariant under all FIOs (associated to a canonical graph) of order zero. We hope to use these spaces in future work to solve wave equations with rough coefficients.it was proved by Seeger, Sogge and Stein that Fourier Integral operators (FIOs) in $n$ dimensions map the Hardy space ${H}^{1}$ into ${L}^{1}$ provided they have sufficiently negative order, that is, no bigger than $-\left(n-1\right)∕2$.

I will describe joint work with Pierre Portal and Jan Rozendaal, based on earlier work of Hart Smith, on constructing Hardy-type spaces that are invariant under all FIOs (associated to a canonical graph) of order zero. We hope to use these spaces in future work to solve wave equations with rough coefficients.

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