Weyl multipliers for invariant Sobolev spaces

DOI10.1007/BF03161309zbMath0934.46039OpenAlexW2076391485MaRDI QIDQ1301564

Ramakrishnan Radha, Sundaram Thangavelu

Publication date: 25 April 2000

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03161309

zbMATH Keywords

Weyl transform\(L^p\)-multipliersWeyl multipliersconcrete characterizationdual space characterizationLaguerre Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22)

Related Items (2)

Weyl transform and Weyl multipliers associated with locally compact abelian groups ⋮ Homogeneous Fourier and Weyl multipliers on Sobolev spaces related to the Heisenberg group

Cites Work

• Unnamed Item
• Estimates for translation invariant operators in \(L^p\) spaces
• The Weyl transform and bounded operators on \(L^p(\mathbb{R}^n)\).
• Multipliers of Sobolev spaces
• Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform
• Interpolation and non-commutative integration
• On regularity of twisted spherical means and special Hermite expansions
• Quasimeasures and operators commuting with convolution
• Harmonic Analysis in Phase Space. (AM-122)

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