Jörgen Boo (2001)
Publicacions Matemàtiques
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We show that a certain solution operator for ∂ in a space of forms square integrable against e-|z|2 is canonical, i.e., that it gives the minimal solution when applied to a ∂-closed form, and gives zero when applied to a form orthogonal to Ker ∂. As an application, we construct a canonical homotopy operator for i∂∂.
Ewa Ligocka (1998)
Studia Mathematica
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We use a recent result of M. Christ to show that the Bergman kernel function of a worm domain cannot be -smoothly extended to the boundary.
Ewa Ligocka (1989)
Studia Mathematica
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Bo Berndtsson (1996)
Annales de l'institut Fourier
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We give a short proof of the extension theorem of Ohsawa-Takegoshi. The same method also gives a generalization of the -theorem of Donnelly and Fefferman for the case of -forms.
Ewa Ligocka (1984)
Studia Mathematica
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Mats Andersson, Hasse Carlsson (1995)
Revista Matemática Iberoamericana
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Let D be a bounded strictly pseudoconvex domain in C. We construct approximative solution formulas for the equation i∂∂`u = θ, θ being an exact (1,1)-form in D. We show that our formulas give simple proofs of known estimates and indicate further applications.
Ewa Ligocka (1986)
Studia Mathematica
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Mats Andersson (1988)
Publicacions Matemàtiques
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We derive formulas for the values in the interior of the L-minimal solutions of the ∂∂-equation in the unit ball of C. These formulas generalize previously known formulas for the boundary values of the same solutions. We estimate the solution and obtain a (known) result concerning weighted Nevanlinna classes.
Ewa Ligocka (1983)
Banach Center Publications
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