Abstract
The Welland inequality for fractional integrals on hypergroups with quasi-metric and Haar measure is proved. This inequality gives pointwise estimates of fractional integrals by fractional maximal operators.
Key words: Fractional integral, fractional maximal operator, hypergroup.
Full Text
Article Information
Title | The Welland inequality on hypergroups |
Source | Methods Funct. Anal. Topology, Vol. 25 (2019), no. 2, 134-141 |
MathSciNet |
MR3978677 |
Milestones | Received 30/12/2017 |
Copyright | The Author(s) 2019 (CC BY-SA) |
Authors Information
M. G. Hajibayov
National Academy of Aviation, Baku, Azerbaijan; Institute of Mathematics and Mechanics, Baku, Azerbaijan
Citation Example
M. G. Hajibayov, The Welland inequality on hypergroups, Methods Funct. Anal. Topology 25
(2019), no. 2, 134-141.
BibTex
@article {MFAT1168,
AUTHOR = {M. G. Hajibayov},
TITLE = {The Welland inequality on hypergroups},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {25},
YEAR = {2019},
NUMBER = {2},
PAGES = {134-141},
ISSN = {1029-3531},
MRNUMBER = {MR3978677},
URL = {http://mfat.imath.kiev.ua/article/?id=1168},
}