Abstract
We combine dyadic analysis through Haar-type wavelets (defined on Christ’s families of generalized cubes) and the Lax–Milgram theorem in order to prove the existence of Green’s functions for fractional Laplacians on some function spaces of vanishing small resolution in spaces of homogeneous type.
Citation
Hugo Aimar. Ivana Gómez. "Function spaces of coercivity for the fractional Laplacian in spaces of homogeneous type." Ann. Funct. Anal. 10 (2) 157 - 169, May 2019. https://doi.org/10.1215/20088752-2018-0016
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