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

Similarity:

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]

Similarity:

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]

Similarity:

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

Albert I. Petrosyan (2006)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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

Similarity:

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

Similarity:

On embeddings, traces and multipliers in harmonic function spaces

Miloš Arsenović, Romi F. Shamoyan (2013)

Kragujevac Journal of Mathematics

Similarity:

Fractional integro-differentiation in harmonic mixed norm spaces on a half-space

Karen L. Avetisyan (2001)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

In this paper some embedding theorems related to fractional integration and differentiation in harmonic mixed norm spaces $h (p, q, α)$ on the half-space are established. We prove that mixed norm is equivalent to a “fractional derivative norm” and that harmonic conjugation is bounded in $h (p, q, α)$ for the range $0 < p \leq \infty$ , $0 < q \leq \infty$ . As an application of the above, we give a characterization of $h (p, q, α)$ by means of an integral representation with the use of Besov spaces.