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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… Click to show full abstract
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.
Keywords:
measure;
lusin property;
property;
metric measure;
measure spaces
Journal Title: Forum Mathematicum
Year Published: 2018
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Journal Title: Forum Mathematicum
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!