NYJM Logo

New York Journal of Mathematics
Volume 29 (2023), 1016-1031

  

Pengfei Guan and Huangchen Zhou

On admissible square roots of non-negative C2,2α functions

view    print


Published: September 1, 2023.
Keywords: Nonnegative functions; square roots; C1,α regularity.
Subject [2020]: 26A16, 26A24, 26A33.

Abstract
We establish a necessary and sufficient condition for C1,α regularity of the admissible square root of a non-negative C2,2α(R) function.

Acknowledgements

Research of the first author is supported in part by an NSERC Discovery grant.


Author information

Pengfei Guan
Department of Mathematics and Statistics
McGill University
Montreal, Quebec H3A 2K6, Canada

pengfei.guan@mcgill.ca

Huangchen Zhou
Department of Mathematics and Statistics
McGill University
Montreal, Quebec H3A 2K6, Canada

huangchen.zhou@mail.mcgill.ca