3 citations · 7 across the 7 of their papers we have counts for
8 papers
Carleson operators on doubling metric measure spaces
Lars Becker, Floris van Doorn, Asgar Jamneshan +2
Doubling metric measure spaces provide a natural framework for singular integral operators. In contrast, the study of maximally modulated singular integral operators, the so-called…
A blueprint for the formalization of Carleson's theorem on convergence of Fourier series
Lars Becker, María Inés de Frutos-Fernández, Leo Diedering +14
This paper is the blueprint underlying the Lean formalization of the proof of Carleson's classical result asserting almost everywhere convergence of Fourier series of continuous fu…
Density of Rational Points Near Flat/Rough Hypersurfaces
Rajula Srivastava, Niclas Technau
For , let be a compact hypersurface, parametrized by a homogeneous function of degree , with non-vanishing curv…
Spherical maximal operators on Heisenberg groups: Restricted dilation sets
Joris Roos, Andreas Seeger, Rajula Srivastava
Consider spherical means on the Heisenberg group with a codimension two incidence relation, and associated spherical local maximal functions where the dilations are restrict…
On the Korányi Spherical maximal function on Heisenberg groups
Rajula Srivastava
We prove estimates for the local maximal operator associated with dilates of the Kóranyi sphere in Heisenberg groups. These estimates are sharp up to endpoints and imp…
Lebesgue space estimates for spherical maximal functions on Heisenberg groups
Joris Roos, Andreas Seeger, Rajula Srivastava
We prove estimates for local maximal operators associated with dilates of codimension two spheres in Heisenberg groups; these are sharp up to two endpoints. The result…
Orthogonal Systems of Spline Wavelets as Unconditional Bases in Sobolev Spaces
Rajula Srivastava
We exhibit the necessary range for which functions in the Sobolev spaces can be represented as an unconditional sum of orthonormal spline wavelet systems, such as the Battl…
A Cotlar Type Maximal Function Associated With Fourier Multipliers
Rajula Srivastava
We prove the boundedness of a maximal operator associated with a dyadic frequency decomposition of a Fourier multiplier, under a weak regularity assumption.