181 citations · 551 across the 67 of their papers we have counts for
39 papers · 1 filter
Herz versus Fefferman: Symmetric and asymmetric Bochner--Riesz theory
Peng Chen, Dangyang He, Adam Sikora +1
We study Bochner--Riesz summability for a one-dimensional model of noncompact manifolds with ends. Each end has an effective Euclidean dimension, and these dimensions may differ fr…
Vertical Maximal Functions on Manifolds with Ends
Himani Sharma, Adam Sikora
We consider the setting of manifolds with ends which are obtained by compact perturbation (gluing) of ends of the form . We investigate family…
Vertical and horizontal Square Functions on a Class of Non-Doubling Manifolds
Julian Bailey, Adam Sikora
We consider a class of non-doubling manifolds that are the connected sum of a finite number of -dimensional manifolds of the form $\mathbb{R}^{n_{i}} \times \mathc…
Lie group approach to Grushin operators
Jacek Dziubański, Adam Sikora
We consider a finite system of complete vector fields acting on smooth manifolds equipped with a smooth positive measure. We assume that the system…
Sharp spectral multipliers without semigroup framework and application to random walks
Peng Chen, El Maati Ouhabaz, Adam Sikora +1
In this paper we prove spectral multiplier theorems for abstract self-adjoint operators on spaces of homogeneous type. We have two main objectives. The first one is to work outside…
Riesz transforms on a class of non-doubling manifolds
Andrew Hassell, 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…