Complex tangential characterizations of Hardy-Sobolev spaces of holomorphic functions.
Sandrine Grellier (1993)
Revista Matemática Iberoamericana
Similarity:
Let Ω be a C∞-domain in Cn. It is well known that a holomorphic function on Ω behaves twice as well in complex tangential directions (see [GS] and [Kr] for instance). It follows from well known results (see [H], [RS]) that some converse is true for any kind of regular functions when Ω satisfies (P) The real tangent space is generated by the Lie brackets of real and imaginary parts of complex tangent vectors ...