Riesz Potential and Fractional Maximal Function

Authors

  • Santosh Ghimire Department of Applied Sciences and Chemical Engineering, Institute of Engineering, Pulchowk Campus, Tribhuvan University, Nepal

DOI:

https://doi.org/10.3126/jacem.v6i0.38347

Keywords:

Riesz Potential, Schwartz class, Fractional Maximal function

Abstract

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.

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Published

2021-07-09

How to Cite

Ghimire, S. (2021). Riesz Potential and Fractional Maximal Function. Journal of Advanced College of Engineering and Management, 6, 137–141. https://doi.org/10.3126/jacem.v6i0.38347

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