Multipliers for Besov spaces on graded Lie groups

DOI10.1016/j.crma.2017.02.015zbMath1360.43003OpenAlexW2592806631WikidataQ115358184 ScholiaQ115358184MaRDI QIDQ524849

Michael Ruzhansky, Duván Cardona

Publication date: 26 April 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2017.02.015

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Harmonic analysis on specific compact groups (43A75) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items (11)

Besov continuity for pseudo-differential operators on compact homogeneous manifolds ⋮ Critical Gagliardo–Nirenberg, Trudinger, Brezis–Gallouet–Wainger inequalities on graded groups and ground states ⋮ Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups ⋮ \(L^p\)-bounds for pseudo-differential operators on graded Lie groups ⋮ Besov spaces of analytic type: interpolation, convolution, Fourier multipliers, inclusions ⋮ Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups ⋮ Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations ⋮ Very weak solutions to hypoelliptic wave equations ⋮ Green-type identities for Rockland operators on graded Lie groups ⋮ Besov continuity for global operators on compact Lie groups: the critical case \(p = q = \infty .\) ⋮ Integrability properties of quasi-regular representations of \(NA\) groups

Cites Work

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• Fourier multipliers and group von Neumann algebras
• Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds
• Bernstein-Nikolskii and Plancherel-Polya inequalities in L_p-norms on non-compact symmetric spaces
• Caracterisation des operateurs hypoelliptiques homogenes
• Spectral Multipliers on Lie Groups of Polynomial Growth
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Fourier multipliers on graded Lie groups
• Littlewood–Paley decompositions and Besov spaces on Lie groups of polynomial growth
• Besov spaces and Strichartz estimates on the Heisenberg group

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