Carleson measure estimates, corona decompositions, and perturbation of elliptic operators without connectivity

Let Ω ⊂ R n + 1 , n ≥ 2 , be an open set with Ahlfors–David regular boundary satisfying the corkscrew condition. When Ω is quantitatively connected (i.e., it satisfies the Harnack chain condition) it is known that for any real elliptic operator with bounded coefficients, the quantitative absolute co...

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Veröffentlicht in:	Mathematische annalen 2024-09, Vol.390 (1), p.95-156
Hauptverfasser:	Cao, Mingming, Hidalgo-Palencia, Pablo, Martell, José María
Format:	Artikel
Sprache:	eng
Schlagworte:	Connectivity Continuity (mathematics) Decomposition Equivalence Estimates Green's functions Mathematics Mathematics and Statistics Operators (mathematics) Perturbation theory
Online-Zugang:	Volltext
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