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February 2, 2026SymmetryOpen Access

Weighted Lp Estimates for Multiple Generalized Marcinkiewicz Functions

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Authors

MAMohammed Abdallah AliJordan University of Science and TechnologyHAHussain Al-QassemQatar University

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Implication

Investigates weighted Lp boundedness of integrated functions in specific mathematical spaces, highlighting important advancements.

Key Points

  • The study aims to explore the weighted Lp boundedness of generalized Marcinkiewicz integrals over multiple symmetric domains.
  • Investigated weighted Lp bounds for generalized Marcinkiewicz integrals MK(ε).
  • Utilized Yano's extrapolation argument for analysis.
  • Examined conditions K in both Lq and Bq spaces.
  • Established suitable weighted Lp bounds for MK(ε) integrals.
  • Showed improvements over existing findings in prior literature.

Cite This Study

Ali et al. (2026) studied this question.

synapsesocial.com/papers/6980fcfcc1c9540dea80ebe7https://doi.org/10.3390/sym18020239
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