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March 10, 2026Constructive Mathematical Analysis0 citationsOpen Access

Integral operators on Riesz-Morrey spaces

KHKwok‐Pun HoEducation University of Hong Kong

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.

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Cite This Study

Kwok‐Pun Ho (2026) studied this question.

synapsesocial.com/papers/69af963170916d39fea4e245https://doi.org/10.33205/cma.1880930
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