Abstract
Our aim is to prove the boundedness of fractional integral operators on weighted Herz spaces with variable exponent. Our method is based on the theory on Banach function spaces and the Muckenhoupt theory with variable exponent.
| Original language | English |
|---|---|
| Article number | 199 |
| Journal | Journal of Inequalities and Applications |
| Volume | 2016 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Dec 1 2016 |
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Keywords
- Herz spaces
- Muckenhoupt weight
- variable exponent
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics
Cite this
Boundedness of fractional integrals on weighted Herz spaces with variable exponent. / Izuki, Mitsuo; Noi, Takahiro.
In: Journal of Inequalities and Applications, Vol. 2016, No. 1, 199, 01.12.2016.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Boundedness of fractional integrals on weighted Herz spaces with variable exponent
AU - Izuki, Mitsuo
AU - Noi, Takahiro
PY - 2016/12/1
Y1 - 2016/12/1
N2 - Our aim is to prove the boundedness of fractional integral operators on weighted Herz spaces with variable exponent. Our method is based on the theory on Banach function spaces and the Muckenhoupt theory with variable exponent.
AB - Our aim is to prove the boundedness of fractional integral operators on weighted Herz spaces with variable exponent. Our method is based on the theory on Banach function spaces and the Muckenhoupt theory with variable exponent.
KW - Herz spaces
KW - Muckenhoupt weight
KW - variable exponent
UR - http://www.scopus.com/inward/record.url?scp=84982273912&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84982273912&partnerID=8YFLogxK
U2 - 10.1186/s13660-016-1142-9
DO - 10.1186/s13660-016-1142-9
M3 - Article
AN - SCOPUS:84982273912
VL - 2016
JO - Journal of Inequalities and Applications
JF - Journal of Inequalities and Applications
SN - 1025-5834
IS - 1
M1 - 199
ER -