Startseite N-Lusin property in metric measure spaces: A new sufficient condition
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N-Lusin property in metric measure spaces: A new sufficient condition

  • Marcela Garriga und Pablo Ochoa EMAIL logo
Veröffentlicht/Copyright: 12. Juli 2018

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.

MSC 2010: 28A15; 28A75; 26B05

Communicated by Frank Duzaar


Award Identifier / Grant number: PICT 1701-2015

Award Identifier / Grant number: SECTYP BO51

Funding statement: M. Garriga and P. Ochoa were partially supported by Grants PICT 1701-2015 and SECTYP BO51.

Acknowledgements

The authors would like to thanks the anonymous referee for her/his very useful comments and suggestions which have been helpful to improve the manuscript.

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Received: 2018-01-17
Revised: 2018-04-03
Published Online: 2018-07-12
Published in Print: 2018-11-01

© 2018 Walter de Gruyter GmbH, Berlin/Boston

Heruntergeladen am 9.9.2025 von https://www.degruyterbrill.com/document/doi/10.1515/forum-2018-0016/pdf
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