Displaying similar documents to “Riesz potentials for Korteweg-de Vries solitons and Sturm-Liouville problems.”

On an inequality of G. H. Hardy.

Iqbal, Sajid, Krulić, Kristina, Pečarić, Josip (2010)

Journal of Inequalities and Applications [electronic only]

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Distributional fractional powers of the Laplacean. Riesz potentials

Celso Martínez, Miguel Sanzi, Francisco Periago (1999)

Studia Mathematica

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For different reasons it is very useful to have at one’s disposal a duality formula for the fractional powers of the Laplacean, namely, ( ( - Δ ) α u , ϕ ) = ( u , ( - Δ ) α ϕ ) , α ∈ ℂ, for ϕ belonging to a suitable function space and u to its topological dual. Unfortunately, this formula makes no sense in the classical spaces of distributions. For this reason we introduce a new space of distributions where the above formula can be established. Finally, we apply this distributional point of view on the fractional powers of...