A. Bonilla

Displaying similar documents to “'Counterexamples' to the harmonic Liouville theorem and harmonic functions with zero nontangential limits”

On the Hartogs-type series for harmonic functions on Hartogs domains in $ℝ^{n} \times ℝ^{m}$ , m ≥ 2

Ewa Ligocka (1999)

Annales Polonici Mathematici

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We study series expansions for harmonic functions analogous to Hartogs series for holomorphic functions. We apply them to study conjugate harmonic functions and the space of square integrable harmonic functions.

On nonhomogeneous $A$ -harmonic equations and 1-harmonic equations.

Lin, En-Bing (2010)

Journal of Inequalities and Applications [electronic only]

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Slow growth for universal harmonic functions.

Gómez-Collado, M.Carmen, Martínez-Giménez, Félix, Peris, Alfredo, Rodenas, Francisco (2010)

Journal of Inequalities and Applications [electronic only]

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On weighted spaces of functions harmonic in $ℝ^{n}$

Albert I. Petrosyan (2006)

Commentationes Mathematicae Universitatis Carolinae

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The paper establishes integral representation formulas in arbitrarily wide Banach spaces $b_{ω}^{p} (ℝ^{n})$ of functions harmonic in the whole $ℝ^{n}$ .

Biharmonic morphisms

Mustapha Chadli, Mohamed El Kadiri, Sabah Haddad (2005)

Commentationes Mathematicae Universitatis Carolinae

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Let $(X, ℋ)$ and $(X^{'}, ℋ^{'})$ be two strong biharmonic spaces in the sense of Smyrnelis whose associated harmonic spaces are Brelot spaces. A biharmonic morphism from $(X, ℋ)$ to $(X^{'}, ℋ^{'})$ is a continuous map from $X$ to $X^{'}$ which preserves the biharmonic structures of $X$ and $X^{'}$ . In the present work we study this notion and characterize in some cases the biharmonic morphisms between $X$ and $X^{'}$ in terms of harmonic morphisms between the harmonic spaces associated with $(X, ℋ)$ and $(X^{'}, ℋ^{'})$ and the coupling kernels of them.

Removable singularities for bounded $p$ -harmonic functions and quasi(super)harmonic functions.

Björn, Anders (2006)

Annales Academiae Scientiarum Fennicae. Mathematica

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On embeddings, traces and multipliers in harmonic function spaces

Miloš Arsenović, Romi F. Shamoyan (2013)

Kragujevac Journal of Mathematics

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Displaying similar documents to “'Counterexamples' to the harmonic Liouville theorem and harmonic functions with zero nontangential limits”

On the Hartogs-type series for harmonic functions on Hartogs domains in ℝ n × ℝ m , m ≥ 2

On nonhomogeneous A -harmonic equations and 1-harmonic equations.

Slow growth for universal harmonic functions.

On weighted spaces of functions harmonic in ℝ n

Biharmonic morphisms

Removable singularities for bounded p -harmonic functions and quasi(super)harmonic functions.

On embeddings, traces and multipliers in harmonic function spaces

On the Hartogs-type series for harmonic functions on Hartogs domains in $ℝ^{n} \times ℝ^{m}$ , m ≥ 2

On nonhomogeneous $A$ -harmonic equations and 1-harmonic equations.

On weighted spaces of functions harmonic in $ℝ^{n}$

Removable singularities for bounded $p$ -harmonic functions and quasi(super)harmonic functions.