Nikolskii inequality and functional classes on compact Lie groups

DOI10.1007/s10688-015-0110-3zbMath1339.46038arXiv1507.07111OpenAlexW3101143437WikidataQ115383876 ScholiaQ115383876MaRDI QIDQ903419

Sergey Yu. Tikhonov, E. D. Nursultanov, Michael Ruzhansky

Publication date: 6 January 2016

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07111

zbMATH Keywords

Triebel-Lizorkin spacesBesov spacesBeurling spacesWiener spacescompact Lie groupsNikolskii inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on real and complex Lie groups (22E30) Interpolation between normed linear spaces (46B70)

Related Items (9)

Besov continuity for pseudo-differential operators on compact homogeneous manifolds ⋮ Besov continuity of pseudo-differential operators on compact Lie groups revisited ⋮ Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups ⋮ Jackson-Type inequality in Hilbert spaces and on homogeneous manifolds ⋮ Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and L-L Fourier multipliers on compact homogeneous manifolds ⋮ Geometric space-frequency analysis on manifolds ⋮ \(L^p-L^q\) multipliers on locally compact groups ⋮ Nikol'skii inequalities for Lorentz-Zygmund spaces ⋮ Besov continuity for global operators on compact Lie groups: the critical case \(p = q = \infty .\)

Cites Work

• Theory of function spaces
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• Ul'yanov and Nikol'skii-type inequalities
• Bernstein-Nikolskii inequalities and Riesz interpolation formula on compact homogeneous manifolds
• On the spectral synthesis of bounded functions
• Pseudo-Differential Operators and Symmetries
• Bernstein-Nikolskii and Plancherel-Polya inequalities in L_p-norms on non-compact symmetric spaces
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• On Absolute Convergence of Multiple Fourier Series
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