Article ID: MTJPAM-D-21-00016

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

aDepartment 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)

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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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