Differential and Integral Equations

Bounded holomorphic functional calculus for non-divergence form differential operators

Xuan Thinh Duong and Li Xin Yan

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


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.

Article information

Differential Integral Equations, Volume 15, Number 6 (2002), 709-730.

First available in Project Euclid: 21 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 47F05: Partial differential operators [See also 35Pxx, 58Jxx] (should also be assigned at least one other classification number in section 47)
Secondary: 35J15: Second-order elliptic equations 42B20: Singular and oscillatory integrals (Calderón-Zygmund, etc.) 47A60: Functional calculus


Duong, Xuan Thinh; Yan, Li Xin. Bounded holomorphic functional calculus for non-divergence form differential operators. Differential Integral Equations 15 (2002), no. 6, 709--730. https://projecteuclid.org/euclid.die/1356060813

Export citation