We prove local hypoellipticity of the complex Laplacian 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 [10].
Hypoellipticity of the ∂-Neumann problem at a point of infinite type
BARACCO, LUCA;ZAMPIERI, GIUSEPPE
2014
Abstract
We prove local hypoellipticity of the complex Laplacian 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 [10].
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