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$\overline{\partial }$-closed extension of CR-forms with singularities on a generic manifold.

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

A boundary cross theorem for separately holomorphic functions

Annales Polonici Mathematici

Let D ⊂ ℂⁿ and $G\subset {ℂ}^{m}$ be pseudoconvex domains, let A (resp. B) be an open subset of the boundary ∂D (resp. ∂G) and let X be the 2-fold cross ((D∪A)×B)∪(A×(B∪G)). Suppose in addition that the domain D (resp. G) is locally ² smooth on A (resp. B). We shall determine the “envelope of holomorphy” X̂ of X in the sense that any function continuous on X and separately holomorphic on (A×G)∪(D×B) extends to a function continuous on X̂ and holomorphic on the interior of X̂. A generalization of this result to N-fold...

A correction to and a remark on our paper "Remarks on the proof of a generalized Hartogs Lemma" (Ann. Polon. Math. 70 (1998), 43-47)

Annales Polonici Mathematici

A Formula for Interpolation and Division in Cn.

Mathematische Annalen

A general version of the Hartogs extension theorem for separately holomorphic mappings between complex analytic spaces

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Using recent development in Poletsky theory of discs, we prove the following result: Let $X,$$Y$ be two complex manifolds, let $Z$ be a complex analytic space which possesses the Hartogs extension property, let $A$ (resp. $B$) be a non locally pluripolar subset of $X$ (resp. $Y$). We show that every separately holomorphic mapping $f:\phantom{\rule{4pt}{0ex}}W:=\left(A×Y\right)\cup \left(X×B\right)\to Z$ extends to a holomorphic mapping $\stackrel{^}{f}$ on $\stackrel{^}{W}:=\left\{\left(z,w\right)\in X×Y:\phantom{\rule{4pt}{0ex}}\stackrel{˜}{\omega }\left(z,A,X\right)+\stackrel{˜}{\omega }\left(w,B,Y\right)<1\right\}$ such that $\stackrel{^}{f}=f$...

A generalization of the Malgrange-Zerner theorem

Annales Polonici Mathematici

A generalized complex Hopf Lemma and its applications to CR mappings.

Inventiones mathematicae

A Hartogs type extension theorem for generalized (N,k)-crosses with pluripolar singularities

Colloquium Mathematicae

The aim of this paper is to present an extension theorem for (N,k)-crosses with pluripolar singularities.

A lemma on mixed derivatives with applications to edge-of-the-wedge, Radon transformation and a theorem of Forelli

Matematički Vesnik

A new proof of a theorem of Grauert and Remmert by L2-Methods.

Mathematische Annalen

Mathematische Zeitschrift

A note on composition operators on spaces of real analytic functions

Annales Polonici Mathematici

We characterize composition operators on spaces of real analytic functions which are open onto their images. We give an example of a semiproper map φ such that the associated composition operator is not open onto its image.

A note on Liouville analytic spaces

Annales Polonici Mathematici

A note on pluripolar extensions of univalent functions.

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

A note on the extension of analytic functions off real analytic subsets.

Let X be a closed analytic subset of an open subset Omega of Rn. We look at the problem of extending functions from X to Omega.

A Precise Result on the Boundary Regularity of Biholomorphic Mappings.

Mathematische Zeitschrift

A Reflection Principle for Proper Holomorphic Mappings of Strongly Pseudoconvex Domains and Applications.

Mathematische Zeitschrift

A reflection principle on strongly pseudoconvex domains with generic corners.

Mathematische Zeitschrift

A Reflection Principle with Applications to Proper Holomorphic Mappings.

Mathematische Annalen

A Remark on a Paper by S.R. Bell.

Manuscripta mathematica

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