Estimates in Sobolev norms $∥ ·∥^{s}_{p}$ for harmonic and holomorphic functions and interpolation between Sobolev and Hölder spaces of harmonic functions

Ewa Ligocka

Displaying similar documents to “Estimates in Sobolev norms $∥ \cdot ∥_{p}^{s}$ for harmonic and holomorphic functions and interpolation between Sobolev and Hölder spaces of harmonic functions”

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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The Bergman projection on harmonic functions

Ewa Ligocka (1987)

Studia Mathematica

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The Sobolev spaces of harmonic functions

Ewa Ligocka (1986)

Studia Mathematica

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On the orthogonal projections onto spaces of pluriharmonic functions and duality

Ewa Ligocka (1986)

Studia Mathematica

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On the reproducing kernel for harmonic functions and the space of Bloch harmonic functions on the unit ball in $R^{n}$

Ewa Ligocka (1987)

Studia Mathematica

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The Hölder duality for harmonic functions

Ewa Ligocka (1986)

Studia Mathematica

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On duality and interpolation for spaces of polyharmonic functions

Ewa Ligocka (1988)

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.

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 $C^{\infty}$ -smoothly extended to the boundary.

Corrigendum to the paper "On the reproducing kernel for harmonic functions and the space of Bloch harmonic functions on the unit ball in R^{n}" (Studia Mathematica 87 (1987), 23-32)

Ewa Ligocka (1992)

Studia Mathematica

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Harmonic Bergman spaces with small exponents in the unit ball.

Guangbin Ren (2002)

Collectanea Mathematica

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Displaying similar documents to “Estimates in Sobolev norms ∥ · ∥ p s for harmonic and holomorphic functions and interpolation between Sobolev and Hölder spaces of harmonic functions”

Displaying similar documents to “Estimates in Sobolev norms $∥ \cdot ∥_{p}^{s}$ for harmonic and holomorphic functions and interpolation between Sobolev and Hölder spaces of harmonic functions”