IJPAM: Volume 31, No. 3 (2006)

NORM INEQUALITIES WITH NON-ISOTROPIC KERNELS

Mehmet Zeki Sarikaya$^1$, Hüseyin Yildirim$^2$, Umut Mutlu Ozkan$^3$
$^{1,2,3}$Department of Mathematics
Faculty of Sciences and Arts
Kocatepe University
Afyon, 03200, TURKEY
$^1$e-mail: sarikaya@aku.edu.tr
$^2$e-mail: hyildir@aku.edu.tr
$^3$e-mail: umutlu@aku.edu.tr


Abstract.In this study, we establish norm inequalities with non-isotropic kernels depending on $\lambda -$distance for maximal operators and fractional integrals generated by the $\lambda -$distance.

Received: July 19, 2006

AMS Subject Classification: 31B10, 44A15, 47B37

Key Words and Phrases: fractional integral, maximal function, non-isotropic kernels

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 31
Issue: 3