Open AccessRiesz Potential and Fractional Maximal Function
Author(s) -
Santosh Ghimire
Publication year - 2021
Publication title -
journal of advance college of engineering and management
Language(s) - English
Resource type - Journals
ISSN - 2392-4853
DOI - 10.3126/jacem.v6i0.38347
Subject(s) - riesz potential , riesz transform , mathematics , riesz representation theorem , m. riesz extension theorem , function (biology) , fractional calculus , space (punctuation) , mathematical analysis , pure mathematics , linguistics , philosophy , evolutionary biology , biology
In this article, we begin with Riesz potential. We then discuss some properties of the Riesz potential. Finally we discuss a relation of Riesz Potential with fractional maximal function in the sense that fractional maximal function can be controlled by Riesz potential and the fractional maximal function maps the space Lp to Lq whenever the Riesz potential does.