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arXiv · 1803.07173

Function spaces of coercivity for the fractional Laplacian in spaces of homogeneous type

Hugo Aimar·Ivana Gómez
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Abstract

We combine dyadic analysis through Haar type wavelets defined on Christ's families of generalized cubes, and Lax-Milgram theorem, in order to prove existence of Green's functions for fractional Laplacians on some function spaces of vanishing small resolution in spaces of homogeneous type.

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Hugo Aimar, Ivana Gómez. 2018-03-19. Function spaces of coercivity for the fractional Laplacian in spaces of homogeneous type. https://doi.org/10.1215/20088752-2018-0016

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