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An Application Of Some Spaces Of Lorentz

Published online by Cambridge University Press:  20 November 2018

P. G. Rooney
P. G. Rooney*
Affiliation:
University of Alberta
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The spaces Δ (α) and M(α) were defined by Lorentz (2) as follows. Let 0 < α < l , 0 < l ≤ ∞ ; let ϕ be measurable on (0,l), and, in case l = ∞, let the set where |ϕ(x)| > ∊ have finite measure for each positive ∊.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 314 - 321
Copyright
Copyright © Canadian Mathematical Society 1955

References

1. Banach, S., Theorie des operations lineaires (Warsaw, 1932).Google Scholar
2. Lorentz, G. G., Some new functional spaces, Ann. Math., 51 (1950), 37–55.Google Scholar
3. Lorentz, G. G., Bernstein polynomials (Toronto, 1953).Google Scholar
4. Widder, D. V., The Laplace transform (Princeton, 1941).Google Scholar