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.