INVESTIGADORES
OCHOA Pablo Daniel
artículos
Título:
N-Lusin property in metric measure spaces: a new sufficient condition
Autor/es:
PABLO OCHOA; MARCELA GARRIGA
Revista:
Forum Mathematicum
Editorial:
de Gruyter
Referencias:
Año: 2018 vol. 30 p. 1475 - 1486
ISSN:
1435-5337
Resumen:
In this work, we are concerned with the study of the N-Lusin property in metric measure spaces. A map satisfies that property if sets of measure zero are mapped to sets of measure zero. We prove a new sufficient condition for the N-Lusin property using a weak and pointwise Lipschitz-type estimate. Relations with approximate differentiability in metric measure spaces and other sufficient conditions for the N-Lusin property will be provided.