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Function Spaces

Published online by Cambridge University Press:  20 November 2018

Israel Halperin
Israel Halperin*
Affiliation:
Queen's University
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This paper is the first in a series dealing with Banach spaces L whose elements are functions on a measure space S. If W is a family of non-negative weight functions wα we sometimes write L W p when the norm is given as

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 5 , 1953, pp. 273 - 288
Copyright
Copyright © Canadian Mathematical Society 1953

References

1. Banach, S., Théorie des opérations linéaires (Warsaw, 1932).Google Scholar
2. Ellis, H. W. and Halperin, Israel, Function spaces determined by a levelling length function, to be published in a subsequent issue of this journal. Google Scholar
3. Lorentz, G. G., Some new functional spaces, Ann. Math., 51 (1950), 37–55.Google Scholar