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19952026
most citedSharp -bounds for the wave equation on groups of Heisenberg type

30 citations · 293 across the 61 of their papers we have counts for

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Showing 2019 · math.CAShow all

6 papers · 2 filters

math.CA2019

The circular maximal operator on Heisenberg radial functions

David Beltran, Shaoming Guo, Jonathan Hickman +1

Lebesgue space estimates are obtained for the circular maximal function on the Heisenberg group restricted to a class of Heisenberg radial functions. Under this assu…

math.CA2019★ 10 cited

-Sobolev estimates for a class of integral operators with folding canonical relations

Malabika Pramanik, Andreas Seeger

We prove a sharp -Sobolev regularity results for a class of generalized Radon transforms for families of curves in a three dimensional manifold, with folding canonical relatio…

math.CA2019

The Haar System in Triebel-Lizorkin Spaces: Endpoint Results

Gustavo Garrigós, Andreas Seeger, Tino Ullrich

We characterize the Schauder and unconditional basis properties for the Haar system in the Triebel-Lizorkin spaces , at the endpoint cases , and…

math.CA2019★ 6 cited

Maximal functions associated with families of homogeneous curves: bounds for

Shaoming Guo, Joris Roos, Andreas Seeger +1

Let , be the maximal operator and Hilbert transform along the parabola . For we consider estimates for the maximal functio…

math.CA2019

On pointwise convergence of Schrödinger means

Evangelos Dimou, Andreas Seeger

For functions in the Sobolev space and decreasing sequences we examine convergence almost everywhere of the generalized Schrödinger means on the real line, given b…

math.CA2019★ 8 cited

A maximal function for families of Hilbert transforms along homogeneous curves

Shaoming Guo, Joris Roos, Andreas Seeger +1

Let be the Hilbert transform along the parabola where . For a set of positive numbers consider the maximal function $\mathcal{H}^U \!f= \s…