On one uniqueness theorem for M. Rietz potentials

Details On one uniqueness theorem for M. Rietz potentials On one uniqueness theorem for M. Rietz potentials

2007-12-12

arxiv.org/abs/0712.2006v1

Mathematics

Complex Variables

Scientific paper

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.

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