3 papers
math.AP2025
On the Interplay Between Hodge Projections and Bounded Harmonic Functions on Manifolds with Ends
Dangyang He, Adam Sikora
We investigate the -boundedness of the Hodge projection in the setting of manifolds with ends. We examine its relationship to the Riesz transform and the space of bounded harm…
math.FA2024
Harmonic functions for Bessel operators
Michał Dymowski, Marcin Preisner, Adam Sikora
We verify the continuity of the Riesz transform from the operator related Hardy space to - Lebesgue space of integrable functions. For the standard Euclidean Laplace operator…
math.AP2019
Riesz transforms on a class of non-doubling manifolds II
Andrew Hassell, Daniel Nix, Adam Sikora
We consider a class of manifolds obtained by taking the connected sum of a finite number of -dimensional Riemannian manifolds of the form $(\mathbb{R}^{n_i}, δ) \t…