P. D’Ancona

activity

20022026

most citedL^p boundedness of the wave operator for the one dimensional Schroedinger operator

77 citations · 253 across the 37 of their papers we have counts for

collaborators

Showing 2014Show all

4 papers · 1 filter

math.AP2014

Log-Sobolev inequalities for semi-direct product operators and applications

Piero D'Ancona, Patrick Maheux, Vittoria Pierfelice

We prove logarithmic Sobolev inequalities for semi-direct product operators (see definition in Section 1). We apply our main results to examples of operators and provide some appli…

math.FA2014★ 8 cited

Sharp $L^{p}$ estimates for Schrödinger groups

Piero D'Ancona, Fabio Nicola

Consider a non-negative self-adjoint operator $H$ in $L^{2} (R^{d})$ . We suppose that its heat operator $e^{- t H}$ satisfies an off-diagonal algebraic decay estimate, for some e…

math.AP2014★ 45 cited

Kato smoothing and Strichartz estimates for wave equations with magnetic potentials

Piero D'Ancona

Let $H$ be a selfadjoint operator and $A$ a closed operator on a Hilbert space $H$ . If $A$ is $H$ -(super)smooth in the sense of Kato-Yajima, we prove that $A H^{- \frac{1}{4}}$ …

math.AP2014★ 2 cited

Helmholtz and dispersive equations with variable coefficients on exterior domains

Federico Cacciafesta, Piero D'Ancona, Renato Luca'

We prove smoothing estimates in Morrey-Campanato spaces for a Helmholtz equation $- Lu + z u = f, - Lu := \nabla^{b} (a (x) \nabla^{b} u) - c (x) u, \nabla^{b} := \nabla + ib (x)$ with…

Log-Sobolev inequalities for semi-direct product operators and applications

Sharp Lp estimates for Schrödinger groups

Kato smoothing and Strichartz estimates for wave equations with magnetic potentials

Helmholtz and dispersive equations with variable coefficients on exterior domains

Sharp $L^{p}$ estimates for Schrödinger groups