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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