On one uniqueness theorem for M. Rietz potentials
Complex Variables
2007-12-13 v1 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
We prove that there exists a nonzero holderian real-to-real function vanishing together with its M. Rietz potential in all points of some set of positive length. This result improves the one of D. Beliaev and V. Havin. We also extend the results to multidimensional M. Rietz potentials.
Keywords
Cite
@article{arxiv.0712.2006,
title = {On one uniqueness theorem for M. Rietz potentials},
author = {Konstantin Izyurov},
journal= {arXiv preprint arXiv:0712.2006},
year = {2007}
}