INTERPOLATIONS FOR HÖLDER'S INEQUALITY

Izuchi, Kei Ji; Izuchi, Kou Hei; Ohno, Shuichi

doi:10.4134/BKMS.2013.50.3.901

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INTERPOLATIONS FOR HÖLDER'S INEQUALITY

Journal title : Bulletin of the Korean Mathematical Society
Volume 50, Issue 3, 2013, pp.901-914
Publisher : The Korean Mathematical Society
DOI : 10.4134/BKMS.2013.50.3.901

Title & Authors

INTERPOLATIONS FOR HÖLDER'S INEQUALITY
Izuchi, Kei Ji; Izuchi, Kou Hei; Ohno, Shuichi;

Abstract

Kwon and Bae gave an interpolation for a continuous form of H ${$\ddot{o}$}$ lder's inequality for a real-valued bounded measurable function on a product of measure spaces. It is given some generalizations of their result.

Keywords

interpolation;H ${$\ddot{o}$}$ lder's inequality;continuous form of H ${$\ddot{o}$}$ lder's inequality;

Language

English

Cited by

References

G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, Cambridge University Press, Cambridge, 1952.

E. G. Kwon, Extension of Holder's inequality. I, Bull. Austral. Math. Soc. 51 (1995), 369-375.

E. G. Kwon and E. K. Bae, On a continuous form of Holder inequality, J. Math. Anal. Appl. 343 (2008), no. 1, 585-592.

W. Rudin, Real and Complex Analysis, Third Edition, McGraw-Hill, New York, 1987.

X. Yang, A generalization of Holder's inequality, J. Math. Anal. Appl. 247 (2000), no. 1, 328-330.