## Asian Journal of Mathematics

### Hypoellipticity of the $\overline{\partial}$-Neumann problem at a point of infinite type

#### Abstract

We prove local hypoellipticity of the complex Laplacian $\square$ in a domain which has superlogarithmic estimates outside a curve transversal to the CR directions and for which the holomorphic tangential derivatives of a defining function are superlogarithmic multipliers in the sense of "A general method of weights in the $\overline{\partial}$-Neumann problem," [T. V. Khanh, Ph.D. Thesis, Padua (2009)].

#### Article information

Source
Asian J. Math., Volume 18, Number 4 (2014), 623-632.

Dates
First available in Project Euclid: 6 November 2014

Baracco, Luca; Khanh, Tran Vu; Zampieri, Giuseppe. Hypoellipticity of the $\overline{\partial}$-Neumann problem at a point of infinite type. Asian J. Math. 18 (2014), no. 4, 623--632. https://projecteuclid.org/euclid.ajm/1415284981