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math.AP2014
Polyharmonic capacity and Wiener test of higher order
Svitlana Mayboroda, Vladimir Maz'ya
In the present paper we establish the Wiener test for boundary regularity of the solutions to the polyharmonic operator. We introduce a new notion of polyharmonic capacity and demo…
math.AP2014★ 34 cited
Uniform Rectifiability, Carleson measure estimates, and approximation of harmonic functions
Steve Hofmann, Jose Maria Martell, Svitlana Mayboroda
Let , , be a uniformly rectifiable set of dimension . Then bounded harmonic functions in satisfy Carleson me…