ε-approximability of harmonic functions in Lp implies uniform rectifiability
Bortz, S., & Tapiola, O. (2019). ε-approximability of harmonic functions in Lp implies uniform rectifiability. Proceedings of the American Mathematical Society, 147(5), 2107-2121. https://doi.org/10.1090/proc/14394
Published inProceedings of the American Mathematical Society
© 2019 American Mathematical Society
PublisherAmerican Mathematical Society
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Hofmann, Steve; Tapiola, Olli (Centre Mersenne; l'Institut Fourier,, 2020)Suppose that E⊂Rn+1 is a uniformly rectifiable set of codimension 1. We show that every harmonic function is ε-approximable in Lp(Ω) for every p∈(1,∞), where Ω:=Rn+1∖E. Together with results of many authors this shows that ...
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