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APRG Seminar

Title: Singular integral operators along codimension one subspaces depending on n-1 variables
Speaker: Mikel Florez Amatriain (BCAM – Basque Center for Applied Mathematics, Spain)
Date: 06 March 2024
Time: 4 pm
Venue: Microsoft Teams (online)

In this talk, I will report a work in progress in which we show $L^p$ bounds for singular integral operators formed by $(n-1)$-dimensional Hörmander-Mihlin multipliers. In our case, the multipliers act depending on $(n-1)$-dimensional variable subspaces, which depend only on the first $n-1$ variables.

We prove $L^p$ boundedness for these operators for $p>3/2$. Assuming that the frequency support of the function is contained in an annulus, we can show $L^p$ boundedness for $p>1$.

The video of this talk is available on the IISc Math Department channel.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 19 Jul 2024