An equivalence theorem for a $K$-functional constructed by Beltrami-Laplace operator on symmetric spaces

DOI10.1007/s11868-020-00326-2zbMath1462.43006OpenAlexW3002171650WikidataQ126306685 ScholiaQ126306685MaRDI QIDQ2210495

Salah El Ouadih

Publication date: 6 November 2020

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-020-00326-2

zbMATH Keywords

symmetric spacegeneralized translation operatorHelgason Fourier transform$K$-functionalspherical modulus of smoothness

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Integral transforms of special functions (44A20) Differential geometry of symmetric spaces (53C35) Abstract interpolation of topological vector spaces (46M35)

Related Items (4)

Equivalence of K-functionals and moduli of smoothness generated by the Beltrami-Laplace operator on the spaces \(S^{(p,q)}(\sigma^{m-1})\) ⋮ A note on \(K\)-functional, modulus of smoothness, Jackson theorem and Bernstein-Nikolskii-Stechkin inequality on Damek-Ricci spaces ⋮ Jackson-Type inequality in Hilbert spaces and on homogeneous manifolds ⋮ Modulus of smoothness and approximation theorems in Clifford analysis

Cites Work

• On a theorem of Marcinkiewicz concerning interpolation of operations
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• A sampling theorem on homogeneous manifolds
• A discrete Helgason-Fourier transform for Sobolev and Besov functions on noncompact symmetric spaces
• Sobolev, Besov and Paley-Wiener vectors in Banach and Hilbert spaces
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