On the mean value property of superharmonic and subharmonic functions.

Dalmasso, Robert

Displaying similar documents to “On the mean value property of superharmonic and subharmonic functions.”

The reverse Hölder inequality for the solution to $p$ -harmonic type system.

Cao, Zhenhua, Bao, Gejun, Li, Ronglu, Zhu, Haijing (2008)

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Hardy-Littlewood and Caccioppoli-type inequalities for $A$ -harmonic tensors.

Shi, Peilin, Ding, Shusen (2010)

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Weighted norm inequalities for solutions to the nonhomogeneous $A$ -harmonic equation.

Wen, Haiyu (2009)

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

Lin, En-Bing (2010)

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The obstacle problem for the $A$ -harmonic equation.

Cao, Zhenhua, Bao, Gejun, Zhu, Haijing (2010)

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Weighted Poincaré-type estimates for conjugate $A$ -harmonic tensors.

Xing, Yuming (2005)

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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 embeddings, traces and multipliers in harmonic function spaces

Miloš Arsenović, Romi F. Shamoyan (2013)

Kragujevac Journal of Mathematics

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$A_{r} (λ)$ -weighted Caccioppoli-type and Poincaré-type inequalities for $A$ -harmonic tensors.

Liu, Bing (2002)

International Journal of Mathematics and Mathematical Sciences

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Some Caccioppoli estimates for differential forms.

Cao, Zhenhua, Bao, Gejun, Xing, Yuming, Li, Ronglu (2009)

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"Counterexamples" to the harmonic Liouville theorem and harmonic functions with zero nontangential limits

A. Bonilla (2000)

Colloquium Mathematicae

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We prove that, if μ>0, then there exists a linear manifold M of harmonic functions in $ℝ^{N}$ which is dense in the space of all harmonic functions in $ℝ^{N}$ and lim‖x‖→∞ x ∈ S ‖x‖μDαv(x) = 0 for every v ∈ M and multi-index α, where S denotes any hyperplane strip. Moreover, every nonnull function in M is universal. In particular, if μ ≥ N+1, then every function v ∈ M satisfies ∫H vdλ =0 for every (N-1)-dimensional hyperplane H, where λ denotes the (N-1)-dimensional Lebesgue measure. On the other...

$A_{r}^{λ_{3}} (λ_{1}, λ_{2}, Ω)$ -weighted inequalities with Lipschitz and BMO norms.

Tong, Yuxia, Li, Juan, Gu, Jiantao (2010)

Journal of Inequalities and Applications [electronic only]

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