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Harmonic Besov and Triebel-Lizorkin spaces on the ball - MaRDI portal

Harmonic Besov and Triebel-Lizorkin spaces on the ball (Q682867)

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scientific article; zbMATH DE number 6834160
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Harmonic Besov and Triebel-Lizorkin spaces on the ball
scientific article; zbMATH DE number 6834160

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    Harmonic Besov and Triebel-Lizorkin spaces on the ball (English)
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    5 February 2018
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    In this paper harmonic Besov and Triebel-Lizorkin spaces on the unit ball in \(\mathbb R^d\) are introduced and studied. The harmonic Besov and Triebel-Lizorkin spaces on the unit ball are defined in terms of solid spherical harmonic expansion. The authors showed that these spaces are identified with the Besov and Triebel-Lizorkin spaces of distributions on the unit sphere.
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    Besov space
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    Triebel-Lizorkin space
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    spherical harmonics
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    harmonic function
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