Year: 2014
Type: preprint
Abstract: We show that a doubling measure on the plane can give positive measure to the graph of a continuous function. This answers a question by Wang, Wen and Wen. Moreover we show that the doubling constant of the measure can be chosen to be arbitrarily close to the doubling constant of the Lebesgue measure.
Source: arXiv (Cornell University)
Authors: Ojala, Tuomo, Rajala, Tapio
Institution: University of Jyväskylä
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2952485663