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arXiv · 2001.06455

A new class of $p$-adic Lipschitz functions and multidimensional Hensel's Lemma

Fausto Bolivar-Barbosa·Edwin León-Cardenal·J. J. Rodríguez-Vega
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Abstract

In this work we study $p$-adic continuous functions in several variables taking values on $\mathbb{Z}_p$. We describe the orthonormal van der Put base of these functions and study various Lipschitz conditions in several variables, generalizing previous work of Anashin. In particular, we introduce a new class of $p$-adic Lipschitz functions and study some of their properties. We also prove a Hensel's lifting lemma for this new class of functions, generalizing previous results of Yurova and Khrennikov.

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Fausto Bolivar-Barbosa, Edwin León-Cardenal, J. J. Rodríguez-Vega. 2021-10-04. A new class of $p$-adic Lipschitz functions and multidimensional Hensel's Lemma. https://doi.org/10.1134/s2070046622010010

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