Geodesic
On the Boundedness and Range of the Extended Hankel Transformation
Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 321-325

Voir la notice de l'article provenant de la source Cambridge University Press

For l≤p<∞ μ∈R, let Lμ.p denote the collection of functions f, measurable on (0, ∞) and such that Let C 0 be the collection of functions continuous and compactly supported on (0, ∞); it is known that C 0 is dense in Lμ.p—see [2; Lemma 2.2]. If X and Y are Banach spaces, denote by [X, Y] the collection of bounded linear operators from X into Y, abbreviating [X, X] to [X]. 
Rooney, P. G. On the Boundedness and Range of the Extended Hankel Transformation. Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 321-325. doi: 10.4153/CMB-1980-045-8
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[1] 1. Kober, H., Hankelsche Transformationen, Quart. J. Math. 8 (Ser. 2, 1937), 186-199. Google Scholar

[2] 2. Rooney, P.G., A technique for studying the boundedness and extendability of certain types of operators, Can. J. Math. 25 (1973), 1090-1102. Google Scholar

[3] 3. Rooney, P.G., On the range of the Hankel transformation, Bull. Lond. Math. Soc. 11 (1979), 45-48. Google Scholar

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