TY - JOUR
T1 - Adams-type inequality for weighted non-homogeneous quasi metric space
AU - Utoyo, Mohammad Imam
AU - Nusantara, Toto
AU - Alfiniyah, Cicik
N1 - Publisher Copyright:
© 2014 Mohammad Imam Utoyo, Toto Nusantara and Cicik Alfiniyah.
PY - 2014
Y1 - 2014
N2 - We establish the necessary and sufficient condition for the boundedness of the fractional integral operator Knα in weighted non-homogeneous Morrey spaces. Our results can be viewed Adams-type inequality for non-homogeneous quasimetric space. Measure which satisfies the growth condition of order s > 0 is used, consequently the previous results on the same operator can be seen as a particular case of this study. Furthermore, we also obtain Olsen-type inequality involving Knα.
AB - We establish the necessary and sufficient condition for the boundedness of the fractional integral operator Knα in weighted non-homogeneous Morrey spaces. Our results can be viewed Adams-type inequality for non-homogeneous quasimetric space. Measure which satisfies the growth condition of order s > 0 is used, consequently the previous results on the same operator can be seen as a particular case of this study. Furthermore, we also obtain Olsen-type inequality involving Knα.
KW - Fractional integral operator
KW - Non-homogeneous space
KW - Olsen-type inequality
KW - Weighted morrey space
UR - http://www.scopus.com/inward/record.url?scp=84912140227&partnerID=8YFLogxK
U2 - 10.12988/ijma.2014.311283
DO - 10.12988/ijma.2014.311283
M3 - Article
AN - SCOPUS:84912140227
SN - 1312-8876
VL - 8
SP - 2293
EP - 2301
JO - International Journal of Mathematical Analysis
JF - International Journal of Mathematical Analysis
IS - 45-48
ER -