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On the Boundedness and Range of the Extended Hankel Transformation

Published online by Cambridge University Press:  20 November 2018

P. G. Rooney
P. G. Rooney*
Affiliation:
University of Toronto
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For l≤p<∞ μ∈ℝ, let ℒμ.p denote the collection of functions f, measurable on (0, ∞) and such that

Let C0 be the collection of functions continuous and compactly supported on (0, ∞); it is known that C0 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].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 3 , 01 September 1980 , pp. 321 - 325
Copyright
Copyright © Canadian Mathematical Society 1980

References

1. Kober, H., Hankelsche Transformationen, Quart. J. Math. 8 (Ser. 2, 1937), 186-199.Google Scholar
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. Rooney, P.G., On the range of the Hankel transformation, Bull. Lond. Math. Soc. 11 (1979), 45-48.Google Scholar