Displaying similar documents to “On embeddings, traces and multipliers in harmonic function spaces”

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 .

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

Karen L. Avetisyan (2001)

Commentationes Mathematicae Universitatis Carolinae

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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 ≤ ∞ , 0 < q ≤ ∞ . 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.