Research Article

Integral operators on Riesz-Morrey spaces

Volume: 9 Number: 1 March 6, 2026

Integral operators on Riesz-Morrey spaces

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.

Keywords

References

  1. D. Adams: Morrey spaces, Birkhäuser, Basel (2015).
  2. P. Butzer, A. Kilbas and J. Trujillo: Compositions of Hadamard-type fractional integration operators and the semigroup property, J. Math. Anal. Appl., 269 (2002), 387–400.
  3. D. E. Edmunds, W. D Evans: Hardy Operators, Function Spaces and Embeddings, Springer Berlin, Heidelberg (2004).
  4. G. Folland: Real Analysis: Modern Techniques and their Applications, John Wiley & Sons (1984).
  5. J. Hadamard: Essai sur l’etude des fonctions donnees par leur developpment de Taylor, J. Mat. Pure Appl. Ser. 4, 8 (1892), 101–186.
  6. G. Hardy, J. Littlewood and G. Pólya: Inequalities, Cambridge Univ. Press, London (1952).
  7. K.-P. Ho: Dilation operators and integral operators on amalgam space (Lp, lq), Ricerche Mat., 68 (2019), 661–677.
  8. K.-P. Ho: Hadamard fractional integrals on the power weighted Herz-Morrey spaces, Boll. Unione Mat. Ital., (2025). https://doi.org/10.1007/s40574-025-00491-6

Details

Primary Language

English

Subjects

Lie Groups, Harmonic and Fourier Analysis

Journal Section

Research Article

Publication Date

March 6, 2026

Submission Date

February 3, 2026

Acceptance Date

March 6, 2026

Published in Issue

Year 2026 Volume: 9 Number: 1

APA
Ho, K.-P. (2026). Integral operators on Riesz-Morrey spaces. Constructive Mathematical Analysis, 9(1), 31-38. https://doi.org/10.33205/cma.1880930
AMA
1.Ho KP. Integral operators on Riesz-Morrey spaces. CMA. 2026;9(1):31-38. doi:10.33205/cma.1880930
Chicago
Ho, Kwok-Pun. 2026. “Integral Operators on Riesz-Morrey Spaces”. Constructive Mathematical Analysis 9 (1): 31-38. https://doi.org/10.33205/cma.1880930.
EndNote
Ho K-P (March 1, 2026) Integral operators on Riesz-Morrey spaces. Constructive Mathematical Analysis 9 1 31–38.
IEEE
[1]K.-P. Ho, “Integral operators on Riesz-Morrey spaces”, CMA, vol. 9, no. 1, pp. 31–38, Mar. 2026, doi: 10.33205/cma.1880930.
ISNAD
Ho, Kwok-Pun. “Integral Operators on Riesz-Morrey Spaces”. Constructive Mathematical Analysis 9/1 (March 1, 2026): 31-38. https://doi.org/10.33205/cma.1880930.
JAMA
1.Ho K-P. Integral operators on Riesz-Morrey spaces. CMA. 2026;9:31–38.
MLA
Ho, Kwok-Pun. “Integral Operators on Riesz-Morrey Spaces”. Constructive Mathematical Analysis, vol. 9, no. 1, Mar. 2026, pp. 31-38, doi:10.33205/cma.1880930.
Vancouver
1.Kwok-Pun Ho. Integral operators on Riesz-Morrey spaces. CMA. 2026 Mar. 1;9(1):31-8. doi:10.33205/cma.1880930