57 citations · 106 across the 18 of their papers we have counts for
21 papers
Using wave packet decompositions to construct function spaces: a user guide
Pierre Portal
We survey the construction of a range of function spaces used in harmonic analysis of PDE, including classical results as well as recent developments. We frame these constructions…
Stochastic and deterministic parabolic equations with bounded measurable coefficients in space and time: well-posedness and maximal regularity
Pascal Auscher, Pierre Portal
We establish well-posedness and maximal regularity estimates for linear parabolic SPDE in divergence form involving random coefficients that are merely bounded and measurable in th…
A note on Rubio de Francia's extrapolation in tent spaces and applications
José María Martell, Pierre Portal
The Rubio de Francia extrapolation theorem is a very powerful result which states that in order to show that certain operators satisfy weighted norm inequalities with Muckenhoupt w…
Thermal time as an unsharp observable
Jan van Neerven, Pierre Portal
We show that the Connes-Rovelli thermal time associated with the quantum harmonic oscillator can be described as an (unsharp) observable, that is, as a positive operator valued mea…
Function spaces for decoupling
Andrew Hassell, Pierre Portal, Jan Rozendaal +1
We introduce new function spaces that yield a natural reformulation of the decoupling inequalities for the sphere and the…
estimates for wave equations with specific coefficients
Dorothee Frey, Pierre Portal
Peral/Miyachi's celebrated theorem on fixed time estimates with loss of derivatives for the wave equation states that the operator is…