Karlsruhe Institute of Technology

Germany

nikolaos.pattakos@gmail.com

- N. Pattakos and A. Volberg, Continuity of weighted estimates in A_{p} norm, (submitted December 2010, Proc. Amer. Math. Soc. 140 (2012), 2783-2790)

Continuity of weighted estimates in A_{p} norm

- N. Pattakos and A. Volberg, A new weighted Bellman function (submitted May 2011, C. R. Acad. Sci. Paris, Ser. I 349 (2011) 1151-1154)

A new weighted Bellman function

- N. Pattakos and A. Volberg, The Muckenhoupt A_\infty class as a metric space and continuity of weighted estimates, (submitted October 2011, Math. Res. Lett. 19 (2012), no. 02, 499-510)

The Muckenhoupt A\infty class as a metric space and continuity of weighted estimates

- N. Boros, N. Pattakos and A. Volberg, Some remarks on extrapolation with ``flat" weights, (arXiv:1204.3963v1, April 2012)

Some remarks on extrapolation with ``flat" weights

- M. Papadimitrakis and N. Pattakos, Continuity of weighted estimates for sublinear operators, (arXiv:1206.4580v1, June 2012, to appear in the Proceedings of the edinburgh mathematical society)

Continuity of weighted estimates for sublinear operators

- N. Boros and N. Pattakos, Matrix weights, Littlewood Paley inequalities and the Riesz transforms , (arXiv:1303.7180v1)

Matrix weights, Littlewood Paley inequalities and the Riesz transforms

- N. Bez, C. Jeavons and N. Pattakos, Sharp Sobolev-Strichartz estimates for the free Schrodinger propagator , (Current Trends in Analysis and Its Applications, Proceedings of the 9th ISAAC Congress, Krakow, 2013)

Sharp Sobolev-Strichartz estimates for the free Schrodinger propagator

- J. Bennett, N. Bez, C. Jeavons and N. Pattakos, On sharp bilinear Strichartz estimates of Ozawa-Tsutsumi type , (J. Math. Soc. Japan Vol.69, No.2 (2017) pp.459–476)

On sharp bilinear Strichartz estimates of Ozawa-Tsutsumi type

- N. Pattakos, A dyadic analysis approach to the problem of continuity of weighted estimates with respect to the A_{p} characteristic , (arXiv:1502.00435, 2015)

A dyadic analysis approach to the problem of continuity of weighted estimates with respect to the A_{p} characteristic

- L. Chaichenets, D. Hundertmark, P. Kunstmann and N. Pattakos, On existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space M_{p,q} , (submitted 2016, J. Differential Equations 263 (2017), no. 8, 4429–4441.)

On existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space M_{p,q}

- L. Chaichenets, D. Hundertmark, P. Kunstmann and N. Pattakos, Local well-posedness for the nonlinear Schrodinger equation in modulation spaces M^{s}_{p,q}, (arXiv:1610.08298, 2016)

Local well-posedness for the nonlinear Schrodinger equation in modulation spaces M^{s}_{p,q}

- N. Pattakos, NLS in the modulation space M_{2,q}, (J. Fourier Anal. Appl. (2018). https://doi.org/10.1007/s00041-018-09655-9)

NLS in the modulation space M_{2,q}

- L. Chaichenets, D. Hundertmark, P. Kunstmann and N. Pattakos, Nonlinear Schrodinger equation, differentiation by parts and modulation spaces, (arXiv:1802.10464, 2018, and submitted to the Journal of Evolution Equations)

Nonlinear Schrodinger equation, differentiation by parts and modulation spaces

- L. Chaichenets, D. Hundertmark, P. Kunstmann and N. Pattakos, Knocking out teeth in one dimensional periodic NLS, (arXiv:1808.03055, 2018, and submitted to Analysis and PDE)

Knocking out teeth in one dimensional periodic NLS

### Some Useful Notes

- The Prime Number Theorem,

The Prime Number Theorem

- Wilson's Theorem,

Wilson's Theorem

*Last Update: 12/12/2018.*

- The Prime Number Theorem,