Extension of ϕ-Lipschitz functions

Authors

  • Álvaro González Cortés Universitat Politècnica de València

Keywords:

Lipschitz function, extension, index

Abstract

Els teoremes d’extensió de McShane i Whitney poden generalitzar-se de diverses maneres, permetent estendre funcions des de subespais mètrics a l’espai sencer preservant la constant de Lipschitz. En aquest sentit, proposem introduir una funció ϕ creixent, positiva i subadditiva que, en compondre-la amb una mètrica, s’obté una altra mètrica que millora l’extensió. A més, la noció d’espai d’índexs és introduïda i els resultats d’aquest treball generalitzen els ja coneguts sobre índexs de Lipschitz per al cas dels ϕ-Lipschitz.

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Published

2024-01-26

How to Cite

González Cortés, Álvaro. (2024). Extension of ϕ-Lipschitz functions. Reports@SCM, 8(1), 55–56. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/151067

Issue

Vol. 8 No. 1 (2023)

Section

Extended abstracts

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