2 papers
math.AP2012
A note on the almost everywhere convergence to initial data for some evolution equations
I. Abu-Falahah, P. R. Stinga, J. L. Torrea
The weighted Lebesgue spaces of initial data for which almost everywhere convergence of the heat equation holds was only very recently characterized. In this note we show that the…
math.CA2010
Square functions associated to Schrodinger operators
I. Abu-Falahah, P. R. Stinga, J. L. Torrea
We characterize geometric properties of Banach spaces in terms of boundedness of square functions associated to general Schrodinger operators of the form , where the nonneg…