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Contenido archivado el 2024-06-11

Questions relating to rectifiability and singular integrals, and packing measures

Objetivo



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.

Ámbito científico (EuroSciVoc)

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Programa(s)

Tema(s)

Convocatoria de propuestas

Datos no disponibles

Régimen de financiación

RGI - Research grants (individual fellowships)

Coordinador

UNIVERSITY OF JYVAESKYLAE
Aportación de la UE
Sin datos
Dirección
Ahlmaninkatu 2
40351 JYVASKYLA
Finlandia
Coste total
Sin datos

Participantes (1)