On multipliers on compact Lie groups

DOI10.1007/s10688-013-0010-3zbMath1276.43001arXiv1303.4968OpenAlexW3104445740WikidataQ115383885 ScholiaQ115383885MaRDI QIDQ372469

Michael Ruzhansky, Jens Wirth

Publication date: 8 October 2013

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

Full work available at URL: https://arxiv.org/abs/1303.4968

zbMATH Keywords

Lie groupspseudo-differential operatorsmutipliers

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (17)

Besov continuity of pseudo-differential operators on compact Lie groups revisited ⋮ Fourier multipliers associated with singular partial differential operators ⋮ Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds ⋮ Fourier multipliers for Hardy spaces on graded Lie groups ⋮ Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary ⋮ Global hypoellipticity and global solvability for vector fields on compact Lie groups ⋮ \(L^p\)-nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups ⋮ Hörmander class of pseudo-differential operators on compact Lie groups and global hypoellipticity ⋮ -BOUNDS FOR PSEUDO-DIFFERENTIAL OPERATORS ON COMPACT LIE GROUPS ⋮ Global functional calculus for operators on compact Lie groups ⋮ \(L^p-L^q\) multipliers on locally compact groups ⋮ \(L^{p}\)-boundedness, compactness of pseudo-differential operators on compact Lie groups ⋮ \(L^p\) Fourier multipliers on compact Lie groups ⋮ Pseudo-differential operators generated by a non-local boundary value problem ⋮ Besov continuity for global operators on compact Lie groups: the critical case \(p = q = \infty .\) ⋮ Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and \(L^p\)-\(L^q\) Fourier multipliers on compact homogeneous manifolds ⋮ Fourier multipliers on graded Lie groups

Cites Work

• Estimates for translation invariant operators in \(L^p\) spaces
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Pseudo-Differential Operators and Symmetries

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