Marco Fraccaroli

RG Analysis and Partial Differential Equations


Archives of the Mathematisches Forschungsinstitut Oberwolfach


Contact

Postal address:
Mathematisches Institut
Universität Bonn
Endenicher Allee 60
D - 53115 Bonn
         Office:
Endenicher Allee 60, N2.008
Phone: +49 (0) 228 73-6888
E-mail: mfraccar (at) math.uni-bonn.de

I am currently a PhD student. My advisor is Prof. Dr. Christoph Thiele.
My CV.

Research interests

My main areas of interest are real and harmonic analysis.

My first main research interest lies in Lp theory for outer measure spaces. In particular, I am studying the duality properties of the single and double iterated outer Lp spaces.

My second main research interest lies in time-frequency analysis. In particular, I am studying boundedness properties of multilinear forms with symmetries given by modulations and matrix dilations.

Finally, I have studied the uniform restriction problem for convex planar curves, without any additional assumption on their smoothness.

Publications and preprints

Duality for outer Lpμ(ℓr) spaces and relation to tent spaces.
arXiv preprint: https://arxiv.org/abs/2001.05903
Submitted, March 2020.

Duality for double iterated outer Lp spaces.
In preparation.

A note on triangle inequality for outer Lpμ(ℓ) spaces.
In preparation.

Boundedness of multilinear forms associated with determinantal multipliers. (with Gennady Uraltsev)
In preparation.

Uniform Fourier restriction for convex curves in ℝ2.
In preparation.

Theses

My Master’s Degree was obtained from Universität Bonn, Germany, by March 1st, 2017, with a thesis on the topic of:
On distributions with GL2(ℝ) dilation symmetry.
Advisor: Prof. Dr. Christoph Thiele.
In this thesis we give a complete classification of the tempered distributions homogeneous of a certain degree under the GLn(ℝ) dilations for n=1 and n=2.

My Bachelor’s Degree was obtained from Università degli Studi di Padova, Italy, by September 26th, 2014, with a thesis on the topic of:
The Yamabe equation: analysis and solutions via the moving sphere method and the maximum principle (in Italian).
Advisor: Prof. Dr. Roberto Monti.

Slides and Notes

Coming soon.

Teaching

Course notes of V4B5: Real and Harmonic Analysis (winter term 2016/2017).