Questions relating to rectifiability and singular integrals, and packing measures
FP4 — Training and Mobility of Researchers
- Duration
- 1996-09-16 → 1998-09-15
- EU contribution
- —
- Participants
- 2
- Scheme
- RGI
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Project objective
A major objective of the proposed research is to extend the applicant's fields of expertise, by allowing her the opportunity to collaborate with one of the most active senior mathematicians working in her area. It is proposed to consider some of the open questions in the areas of Rectifiability and Singular Integrals, and Packing measures. The applicant's work to date has centred on the latter topic, in particular on the question of subsets of positive finite packing measure. The proposed work would thus continue this earlier work in a logical and satisfying fashion, and also extend into related areas which are currently very active. Some of the specific questions we would wish to consider are: 1. The characterization of removable sets of positive length for bounded analytic functions. 2. The curvature characterization of rectifiability and pure unrectifiability. 3. Results concerning the packing dimension of intersections of sets in n-dimensional Euclidean space.
Original text from CORDIS.
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