What question did this study set out to answer?

This paper aims to explore the boundedness of integral operators within Riesz-Morrey spaces and their applications.

March 10, 2026Open Access

Integral operators on Riesz-Morrey spaces

Key Points

This paper aims to explore the boundedness of integral operators within Riesz-Morrey spaces and their applications.
Analyzed the characteristics of integral operators in Riesz-Morrey spaces.
Extended Hardy's inequalities to this specific type of space.
Established the boundedness of Hadamard fractional integrals on Riesz-Morrey spaces.
Integral operators were found to be bounded on Riesz-Morrey spaces.
Hardy's inequalities were successfully extended to these spaces.
Boundedness of Hadamard fractional integrals was confirmed, supporting the main results.

Abstract

The main result of this paper is the boundedness of integral operators on Riesz-Morrey spaces. As applications of the main result, we extend Hardy's inequalities to Riesz-Morrey spaces and establish the boundedness of the Hadamard fractional integrals on Riesz-Morrey spaces.

Bookmark

View Full Paper