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July 26, 2026Journal of Applied Analysis & ComputationOpen Access

Parametric Marcinkiewicz Integral Operators and Commutators on Herz-Hardy Spaces With Variable Exponents

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Authors

SWSuping WangGLGuanghui Lü

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Overview

Demonstrates the boundedness of Marcinkiewicz operators in variable exponent spaces, suggesting new insights into function spaces.

Key Points

  • The aim is to establish the boundedness of parametric Marcinkiewicz integral operators and their commutators on Herz spaces with variable exponents.
  • Examined the boundedness of Marcinkiewicz integral operators with variable kernel on Herz spaces with variable exponents.
  • Analyzed conditions for parameters α(·), p(·), and q(·) to ensure boundedness.
  • Established estimates on Herz-Hardy spaces with variable exponents.
  • Proved boundedness of parametric Marcinkiewicz integral operators under specific conditions on α(·), p(·), and q(·).
  • Established corresponding estimates for Herz-Hardy spaces, showing significant control over function behavior.

Cite This Study

Wang et al. (2026) studied this question.

synapsesocial.com/papers/6a65a3e4d3aea3239cd76cffhttps://doi.org/10.11948/20260037
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Also Consider

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  1. 1Boundedness of the Higher Order Commutators of Marcinkiewicz Integral Operator on Grand Variable Herz-Morrey Spaces2025
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  3. 3Estimates of Variable Kernel Parameterized Littlewood-Paley Operators on Variable Herz Spaces2025
  4. 4Bounds for $p$-adic Hardy-type Operators and Commutator On $p$-adic Variable Herz-Morrey Spaces2024
  5. 5Sobolev-type theorem for commutators of variable Marcinkiewicz fractional in grand variable Herz-Morrey spaces2025 · 2 citations