Achour, A.; Trimeche, K. La \(g\)-fonction de Littlewood-Paley associée à un opérateur différentiel singulier sur \((0,\infty)\). (The Littlewood-Paley’s \(g\)-function associated with à singular différential opérator on \((0,\infty)\)). (French) Zbl 0489.34022 Ann. Inst. Fourier 33, No. 4, 203-226 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 15 Documents MSC: 34L99 Ordinary differential operators 47E05 General theory of ordinary differential operators Keywords:Sturm-Liouville operator; Littlewood-Paley’s g-function; singular differential operators Citations:Zbl 0193.105 PDF BibTeX XML Cite \textit{A. Achour} and \textit{K. Trimeche}, Ann. Inst. Fourier 33, No. 4, 203--226 (1983; Zbl 0489.34022) Full Text: DOI Numdam EuDML OpenURL References: [1] S. BOCHNER, Proceeding of the conference on differential equations, 24-28, College Park Maryland, University of Maryland, Book Store (1956). [2] H. CHEBLI, Sur un théorème de Paley-Wiener associé à la décomposition spectrale d’un opérateur de Sturm-Liouville sur ]0, ∞[, J. Func. Anal., Vol. 17 (1974), 447-461. · Zbl 0288.47040 [3] E. STEIN, Topics in harmonic analysis related to the Littlewood-Paley theory, Ann. of Math. Studies, n° 63, Princeton Univ. Press, (1970). · Zbl 0193.10502 [4] K. TAIRA, A strong maximum-principle for degenerate elliptic operators, Comm. In Partial. Diff. Equations, 4(11) (1979), 1201-1212. · Zbl 0467.35021 [5] K. TRIMECHE, Transformation intégrale de Weyl et théorème de Paley-Wiener associés à un opérateur différentiel singulier sur (0, ∞), J. Math. Pures et Appl., 60 (1981), 51-98. · Zbl 0416.44002 [6] A. ZYGMUND, Trigonometric series, 2nd ed., Cambridge Univ. Press., New-York, 1959. · Zbl 0085.05601 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.