Abstract
Let $L$ be a second-order elliptic partial differential operator of non-divergence form acting on ${\bf R^n}$ with bounded coefficients. We show that for each $1 < p_0 <2, L$ has a bounded $H_{\infty}$-functional calculus on $L^p({\bf R^n})$ for $p_0 <p <\infty$ if the $BMO$ norm of the coefficients is sufficiently small.
Citation
Xuan Thinh Duong. Li Xin Yan. "Bounded holomorphic functional calculus for non-divergence form differential operators." Differential Integral Equations 15 (6) 709 - 730, 2002. https://doi.org/10.57262/die/1356060813
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