Restriction theorems and Strichartz inequalities for the Laguerre operator involving orthonormal functions

DOI10.1007/s12220-024-01740-4zbMath1547.3559MaRDI QIDQ6596289

Guoxia Feng, Manli Song

Publication date: 2 September 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Strichartz inequalitiesrestriction theoremLaguerre operatorsystems of orthonormal functions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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