Eric Stachura
Research Subjects
Eric Stachura has a total of 4 co-authors. Here are the top co-authors by number of shared publications:
- José María Martell
Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM, Consejo Superior de Investigaciones Científicas, Madrid, Spain
1 shared publication - Kabe Moen
Department of Mathematics, University of Alabama, Tuscaloosa, USA
1 shared publication - Rodolfo H. Torres
Department of Mathematics, University of California, Riverside, USA
1 shared publication - Árpád Bényi
Department of Mathematics , Western Washington University 516 High Street, Bellingham , Washington , USA
1 shared publication
Latest Publications
- Open Access
Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
We present a unified method to obtain weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settings. Our approach elaborates on a commonly used Cauchy integral trick, recovering many known results but yielding also numerous new ones.
Open AccessBoundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
We present a unified method to obtain weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settings. Our approach elaborates on a commonly used Cauchy integral trick, recovering many known results but yielding also numerous new ones.
- Open Access
Existence of Propagators for Time Dependent Coulomb-like Potentials
We prove existence of propagators for a time dependent Schr\"odinger equation with a new class of softened Coulomb potentials, which we allow to be time dependent, in the context of time dependent density functional theory. We compute explicitly the Fourier transform of these new potentials, and provide an alternative proof for the Fourier transform of the Coulomb potential using distribution theory. Finally we show the new potentials are dilatation analytic, and so the spectrum of the corresponding Hamiltonian can be fully characterized.
Open AccessExistence of Propagators for Time Dependent Coulomb-like Potentials
We prove existence of propagators for a time dependent Schr\"odinger equation with a new class of softened Coulomb potentials, which we allow to be time dependent, in the context of time dependent density functional theory. We compute explicitly the Fourier transform of these new potentials, and provide an alternative proof for the Fourier transform of the Coulomb potential using distribution theory. Finally we show the new potentials are dilatation analytic, and so the spectrum of the corresponding Hamiltonian can be fully characterized.