Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds

DOI10.2422/2036-2145.201412_008zbMath1356.35022arXiv1403.3430OpenAlexW2964236892MaRDI QIDQ2957555

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

Publication date: 26 January 2017

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.3430

zbMATH Keywords

embeddings reverse Hölder inequality interpolation properties

Mathematics Subject Classification ID

Topological linear spaces of test functions, distributions and ultradistributions (46F05) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) PDEs on manifolds (35R01)

Related Items (25)

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 ⋮ Characterizations of self-adjointness, normality of pseudo-differential operators on homogeneous space of compact groups ⋮ Clarkson inequalities on \(L^p(\widehat{G})\) space associated with compact Lie group ⋮ Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds ⋮ Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces ⋮ Jackson-Type inequality in Hilbert spaces and on homogeneous manifolds ⋮ Sharp Strichartz type estimates for the Schrödinger equation associated with harmonic oscillator ⋮ Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups ⋮ Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and L-L Fourier multipliers on compact homogeneous manifolds ⋮ -BOUNDS FOR PSEUDO-DIFFERENTIAL OPERATORS ON COMPACT LIE GROUPS ⋮ Geometric space-frequency analysis on manifolds ⋮ Nuclear pseudo-differential operators in Besov spaces on compact Lie groups ⋮ Multipliers for Besov spaces on graded Lie groups ⋮ \(L^p-L^q\) multipliers on locally compact groups ⋮ Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds ⋮ Nikol'skii-type inequalities for trigonometric polynomials for Lorentz-Zygmund spaces ⋮ Wiener-Beurling spaces and their properties ⋮ Sharp Strichartz estimates for the Schrödinger equation on the sphere ⋮ Besov continuity for global operators on compact Lie groups: the critical case \(p = q = \infty .\) ⋮ Schatten class and nuclear pseudo-differential operators on homogeneous spaces of compact groups ⋮ Bounds of the Nikol'skii polynomial constants in \(L^p\) with Gegenbauer weight ⋮ Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and \(L^p\)-\(L^q\) Fourier multipliers on compact homogeneous manifolds ⋮ Sobolev, Besov and Paley-Wiener vectors in Banach and Hilbert spaces

This page was built for publication: Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds