A Class of Operators on the Lorentz Space M(φ)
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 839-841
Voir la notice de l'article provenant de la source Cambridge University Press
In order to deal with certain problems in the theory of interpolation spaces, it is convenient to consider operators of the following form:Let k be a non-negative measurable function on the half-line R+, and let ƒ be a measurable function on R+ with 1 Then the operator T is defined by 2 with the domain of T, D(T), consisting of all ƒ which satisfy (1).
Boyd, David W. A Class of Operators on the Lorentz Space M(φ). Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 839-841. doi: 10.4153/CJM-1967-078-6
@article{10_4153_CJM_1967_078_6,
author = {Boyd, David W.},
title = {A {Class} of {Operators} on the {Lorentz} {Space} {M(\ensuremath{\varphi})}},
journal = {Canadian journal of mathematics},
pages = {839--841},
year = {1967},
volume = {19},
number = {1},
doi = {10.4153/CJM-1967-078-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-078-6/}
}
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[3] 3. Lorentz, G. G., On the theory of spaces, A, Pacific J. Math., 1 (1950), 411–429. Google Scholar
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