6 papers
Quantum Radon Transform and Its Application
Guangsheng Ma, Hongbo Li, Jiman Zhao
This paper extends the Radon transform, a classical image processing tool for fast tomography and denoising, to the quantum computing platform. A new kind of periodic discrete Rado…
Abstract framework for John Nirenberg inequalities and applications to Hardy spaces
Frederic Bernicot, Jiman Zhao
In this paper, we develop an abstract framework for John-Nirenberg inequalities associated to BMO-type spaces. This work can be seen as the sequel of [5], where the authors introdu…
On Maximal L^p-regularity
Frédéric Bernicot, Jiman Zhao
The aim of this paper is to propose weak assumptions to prove maximal L^q regularity for Cauchy problem: du/dt - Lu(t)=f(t). Mainly we only require "off-diagonal" estimates on the…
Addendum to "Maximal regularity and Hardy spaces"
Pascal Auscher, Frédéric Bernicot, Jiman Zhao
We correct an inaccuracy in a previous article [Auscher, Pascal; Bernicot, Frédéric; Zhao, Jiman. Maximal regularity and Hardy spaces. Collect. Math. 59 (2008), no. 1, 103-127.]
New Abstract Hardy Spaces
Frederic Bernicot, Jiman Zhao
The aim of this paper is to propose an abstract construction of spaces which keep the main properties of the (already known) Hardy spaces H^1. We construct spaces through an atomic…
Maximal regularity and Hardy spaces
Pascal Auscher, Frédéric Bernicot, Jiman Zhao
In this work, we consider the Cauchy problem for with the Laplacian operator on some Riemannian manifolds or a sublapacian on some Lie groups or some second order…