**Title:** Some Norm Inequalities for Fractional Integral Operators

**Montes Taurus J. Pure Appl. Math.** / ISSN: 2687-4814

**Article ID:** MTJPAM-D-21-00016; **Volume 4 / Issue 3 / Year 2022 (Special Issue)**, Pages 93-102

**Document Type:** Research Paper

**Author(s):** Jichang Kuang ^{a}

^{a}Department of Mathematics, Hunan Normal University, Changsha, Hunan, 410081, P. R. China

Received: 10 January 2021, Accepted: 9 September 2021, Published: 7 November 2021.

**Corresponding Author:** Jichang Kuang (Email address: jckuang@163.com)

**Full Text:** PDF

**Abstract**

In this paper, we introduce some new fractional integral operators and fractional area balance operators in the Banach spaces. The corresponding norm inequalities are established. They are significant improvement and generalizations of many known and new classes of fractional integral operators.

**Keywords:** Norm inequality, Fractional integral operator, Fractional area balance operator

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