IJPAM: Volume 31, No. 3 (2006)
NORM INEQUALITIES WITH NON-ISOTROPIC KERNELS
Mehmet Zeki Sarikaya
, Hüseyin Yildirim
, Umut Mutlu Ozkan
Department of Mathematics
Faculty of Sciences and Arts
Kocatepe University
Afyon, 03200, TURKEY
e-mail: sarikaya@aku.edu.tr
e-mail: hyildir@aku.edu.tr
e-mail: umutlu@aku.edu.tr




Faculty of Sciences and Arts
Kocatepe University
Afyon, 03200, TURKEY



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