Open Access
March 2008 An $L_{p}$-function determines $\ell_{p}$
Aoi Honda, Yoshiaki Okazaki, Hiroshi Sato
Proc. Japan Acad. Ser. A Math. Sci. 84(3): 39-41 (March 2008). DOI: 10.3792/pjaa.84.39


$\ell_{p}$ is characterized by the convergence of a series defined by an $L_{p}$-function on the real line $\mathbf{R}$.


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Aoi Honda. Yoshiaki Okazaki. Hiroshi Sato. "An $L_{p}$-function determines $\ell_{p}$." Proc. Japan Acad. Ser. A Math. Sci. 84 (3) 39 - 41, March 2008.


Published: March 2008
First available in Project Euclid: 3 March 2008

zbMATH: 1142.26314
MathSciNet: MR2398577
Digital Object Identifier: 10.3792/pjaa.84.39

Primary: 26D10 , 46A45
Secondary: 60G30

Keywords: $\ell_{p}$ , $p$-integral , absolutely continuous , integrable function

Rights: Copyright © 2008 The Japan Academy

Vol.84 • No. 3 • March 2008
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