scnews: "Asia-Pacific Analysis and PDE Seminar: Adam Sikora -- Square functions and Riesz transforms on a class of non-doubling manifolds" by Daniel Hauer

Dear friends and colleagues,

on Monday, 21 June 2021 at 4 PM, Associate Professor Adam Sikora (Macquarie University, Sydney, Australia) is giving a talk in our Asia-Pacific Analysis and PDE Seminar on

Square functions and Riesz transforms on a class of non-doubling manifolds .

Abstract:

We consider a class of manifolds $M$ obtained by taking the connected sum of a finite number of $N$ -dimensional Riemannian manifolds of the form $(R^{n_{i}}, δ) \times (M_{i}, g)$ , where $M_{i}$ is a compact manifold, with the product metric. The case of greatest interest is when the Euclidean dimensions $n_{i}$ are not all equal. This means that the ends have different `asymptotic dimensions', and implies that the Riemannian manifold $M$ is not a doubling space. We completely describe the range of exponents $p$ for which the Riesz transform and vertical square function on $M$ are bounded operators on $L^{p} (M)$ .

The talk is based on joint works with Andrew Hassell, Daniel Nix, and Julian Bailey.

More information and how to attend this talk can be found at the seminar webpage .

Best wishes,

Daniel

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Webinar Speaker

Adam Sikora

Associate Professor @ Macquarie University, Sydney.

Adam Sikora obtained his PhD from the Polish Academy of Science in 1994. Between 1995 and 2001 he was a visiting fellow at the Australian National University. Then he worked as Assistant Professor @ New Mexico State University (United States) before joining Macquarie University in 2009.

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