SMS scnews item created by Daniel Hauer at Fri 18 Jun 2021 2312
Type: Seminar
Modified: Sun 20 Jun 2021 1616
Distribution: World
Expiry: 21 Jun 2021
Calendar1: 21 Jun 2021 1600-1700
CalLoc1: Zoom webinar
CalTitle1: Square functions and Riesz transforms on a class of non-doubling manifolds

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

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 $$\mathcal{M}$$ obtained by taking the connected sum of a finite number of $$N$$-dimensional Riemannian manifolds of the form $$(\mathbb{R}^{n_i}, \delta) \times (\mathcal{M}_i, g)$$, where $$\mathcal{M}_i$$ 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 $$\mathcal{M}$$ is not a doubling space. We completely describe the range of exponents $$p$$ for which the Riesz transform and vertical square function on $$\mathcal{M}$$ are bounded operators on $$L^p(\mathcal{M})$$.

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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