On the space of Bloch harmonic functions and interpolation of spaces of harmonic and holomorphic functions
Ewa Ligocka (1987)
Studia Mathematica
Similarity:
Displaying similar documents to “The Bergman projection on harmonic functions”
On the space of Bloch harmonic functions and interpolation of spaces of harmonic and holomorphic functions
On the orthogonal projections onto spaces of pluriharmonic functions and duality
Ewa Ligocka (1986)
Studia Mathematica
Similarity:
Estimates in Sobolev norms for harmonic and holomorphic functions and interpolation between Sobolev and Hölder spaces of harmonic functions
Ewa Ligocka (1987)
Studia Mathematica
Similarity:
The Sobolev spaces of harmonic functions
Ewa Ligocka (1986)
Studia Mathematica
Similarity:
Remarks on the Bergman kernel function of a worm domain
Ewa Ligocka (1998)
Studia Mathematica
Similarity:
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.
The Hölder duality for harmonic functions
Ewa Ligocka (1986)
Studia Mathematica
Similarity:
Harmonic Bergman spaces with small exponents in the unit ball.
Guangbin Ren (2002)
Collectanea Mathematica
Similarity:
The Hölder continuity of the Bergman projection and proper holomorphic mappings
Ewa Ligocka (1984)
Studia Mathematica
Similarity:
Some applications of the trace condition for pluriharmonic functions in C.
Alessandro Perotti (2000)
Publicacions Matemàtiques
Similarity:
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.
On the reproducing kernel for harmonic functions and the space of Bloch harmonic functions on the unit ball in
Ewa Ligocka (1987)
Studia Mathematica
Similarity:
Reproducing kernels for holomorphic functions on some balls related to the Lie ball
Keiko Fujita (2007)
Annales Polonici Mathematici
Similarity:
We consider holomorphic functions and complex harmonic functions on some balls, including the complex Euclidean ball, the Lie ball and the dual Lie ball. After reviewing some results on Bergman kernels and harmonic Bergman kernels for these balls, we consider harmonic continuation of complex harmonic functions on these balls by using harmonic Bergman kernels. We also study Szegő kernels and harmonic Szegő kernels for these balls.