The Bergman projection on harmonic functions
Ewa Ligocka (1987)
Studia Mathematica
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Displaying similar documents to “On the orthogonal projections onto spaces of pluriharmonic functions and duality”
The Bergman projection on harmonic functions
Remarks on the Bergman kernel function of a worm domain
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.
On the space of Bloch harmonic functions and interpolation of spaces of harmonic and holomorphic functions
Ewa Ligocka (1987)
Studia Mathematica
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Estimates in Sobolev norms for harmonic and holomorphic functions and interpolation between Sobolev and Hölder spaces of harmonic functions
Ewa Ligocka (1987)
Studia Mathematica
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The Hölder continuity of the Bergman projection and proper holomorphic mappings
Ewa Ligocka (1984)
Studia Mathematica
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The Sobolev spaces of harmonic functions
Ewa Ligocka (1986)
Studia Mathematica
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On boundary behaviour of Bergman kernel function for plane domains and their Cartesian products
Ewa Ligocka (1983)
Banach Center Publications
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The Hölder duality for harmonic functions
Ewa Ligocka (1986)
Studia Mathematica
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On the Forelli-Rudin construction and weighted Bergman projections
Ewa Ligocka (1989)
Studia Mathematica
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Some applications of the trace condition for pluriharmonic functions in C.
Alessandro Perotti (2000)
Publicacions Matemàtiques
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In this paper we investigate some applications of the trace condition for pluriharmonic functions on a smooth, bounded domain in C. This condition, related to the normal component on ∂D of the ∂-operator, permits us to study the Neumann problem for pluriharmonic functions and the ∂-problem for (0,1)-forms on D with solutions having assigned real part on the boundary.
Exact Regularity of Bergman, Szegö and Sobolev Space Projections in Non Pseudoconvex Domains.
Emil J. Straube (1986)
Mathematische Zeitschrift
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