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Networks and Heterogeneous Media

2025, Volume 20, Issue 5: 1509-1523. doi: 10.3934/nhm.2025064
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Weighted Morrey space boundedness for Hörmander-type singular integrals

  • Department of Mathematics, Linyi University, Linyi 276005, P. R. China
  • Published: 29 December 2025

  • We investigate the boundedness properties of singular integral operators characterized by $ L^{r} $-Hörmander kernel conditions (for $ 1 < r < \infty $) within the framework of weighted Morrey spaces. Additionally, the analysis is extended to commutators generated by these operators and functions in the Bounded Mean Oscillation (BMO) classes, establishing corresponding norm estimates under comparable geometric and weight hypotheses.

    Citation: Kejun Li, Shaoguang Shi, Guanglan Wang. Weighted Morrey space boundedness for Hörmander-type singular integrals[J]. Networks and Heterogeneous Media, 2025, 20(5): 1509-1523. doi: 10.3934/nhm.2025064

    Related Papers:

  • We investigate the boundedness properties of singular integral operators characterized by $ L^{r} $-Hörmander kernel conditions (for $ 1 < r < \infty $) within the framework of weighted Morrey spaces. Additionally, the analysis is extended to commutators generated by these operators and functions in the Bounded Mean Oscillation (BMO) classes, establishing corresponding norm estimates under comparable geometric and weight hypotheses.



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