5 citations · 11 across the 7 of their papers we have counts for
8 papers
Common boundary values of holomorphic functions for two-sided complex structures
Florian Bertrand, Xianghong Gong, Jean-Pierre Rosay
Let be two disjoint open sets in whose boundaries share a smooth real hypersurface as relatively open subsets. Assume that is equipped with a comp…
Uniqueness in Rough Almost Complex Structures and Differential Inequalities
Jean-Pierre Rosay
We prove that for almost complex structures of Hölder class at least 1/2, any J-holomorphic disc, that is constant on some non empty open set, is constant. This is in striking cont…
Boundary Values and Boundary Uniqueness of -Holomorphic Mapping
S. Ivashkovich, J. -P. Rosay
We establish a Fatou-type Theorem for -holomorphic mappings that are bounded in an appropriate sense and we prove the Blaschke condition for their zero sets. We also prove a Pri…
Pluri-polarity in almost complex structures
Jean-Pierre Rosay
-holomorphic curves are pluripolar, but they are not minus-infinity sets of pluri-subharmonic functions with logarithmic singularity.
Differential inequalities of continuous functions and removing singularities of Rado type for J-holomorphic maps
Xianghong Gong, Jean-Pierre Rosay
We consider a continuous function on a domain in satisfying the inequality that off its zero set. The main conclusion is that the zero…
Extension of holomorphic bundles to the disc (and Serre's Problem on Stein bundles)
Jean-Pierre Rosay
We show how to extend some holomorphic bundles with fifer C^2 and base an open set in C, to bundles on the Riemann Sphere, by an extremely simple technique. In particular, it appli…