|
Selçuk Journal
of
Applied Mathematics
Winter-Spring,
2006
Volume 7
Number 1
Research Center
of
Applied Mathematics
|
|
SJAM
Winter-Spring 2006, Volume 7 - Number 1
|
|
ON THE NON-ISOTROPIC FRACTIONAL INTEGRALS
GENERATED BY THE Λ-DISTANCE |
|
M. Zeki Sarıkaya and Hüseyin Yıldırım |
|
Department of Mathematics, Faculty of Science and Arts,Kocatepe
University,
Afyon- Turkey
e-mail: sarikaya@aku.edu.tr
e-mail: hyildir@aku.edu.tr
|
|
Summary. The main purpose of this paper
is to investigate the behaviour of non-isotropic fractional
integrals generated by the λ-distance associated to a measure on a
quasimetric space satisfying just a mild growth condition, namely
that the measure of each λ-cube is controlled by a fixed power of
its radius. |
|
|
|
Key
words
Fractional
integral, Quasimetric, λ-Distance.
|
|
2000 Mathematics Subject Classification: 31B10, 44A15 and 47B37. |
|
|
|
|
